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What is the value of the twodigit number x?
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07 Oct 2015, 06:31
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63% (00:54) correct 37% (00:57) wrong based on 428 sessions
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Project DS Butler: Day 23: Data Sufficiency (DS45) For DS butler Questions Click HereWhat is the value of the twodigit number x? (1) The sum of the two digits is 4. (2) The difference between the two digits is 2. Kudos for a correct solution.
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Re: What is the value of the twodigit number x?
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07 Oct 2015, 06:56
Bunuel wrote: What is the value of the twodigit number x?
(1) The sum of the two digits is 4. (2) The difference between the two digits is 2.
Kudos for a correct solution. Question : If x= ab where a and b are tens and units digit respectively then find x?Statement 1: a+b=4x may be 13 or 22 or 31. Hence, NOT SUFFICIENT Statement 2: ab = 2 or ba=2if ab=2 then x = 31 if ba=2 then x = 13. Hence, NOT SUFFICIENT Combining the two statementsx may still be 13 or 31 Hence, NOT SUFFICIENT Answer: option E
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Re: What is the value of the twodigit number x?
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07 Oct 2015, 06:59
Bunuel wrote: What is the value of the twodigit number x?
(1) The sum of the two digits is 4. (2) The difference between the two digits is 2.
Kudos for a correct solution. statement 1: x can have following possible values 40 31 22 13 Insufficient statement 2: x can have following possible values 20 31 13 42 24 64 46 and so on Insufficient Combining statement 1 and statement 2 x can have values 31 and 13 Insufficient Answer :E 13
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Re: What is the value of the twodigit number x?
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07 Oct 2015, 10:46
Tens digit=x One's digit=y From A: \(x+y=4\) so number can be 13,31,22 A is not sufficient From B: \(xy=2\) so number can be 31 or \(yx=2\) so number can be 13 B is not sufficient Combining both of them together , number can be 13 or 31 E is the right answer.
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Re: What is the value of the twodigit number x?
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07 Oct 2015, 18:59
What is the value of the twodigit number x? (1) The sum of the two digits is 4. (2) The difference between the two digits is 2. St 1  13,31 ,40 etc ... St 2  13,31 , 42, 24 , etc together 13, 31  hence e ans
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Re: What is the value of the twodigit number x?
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11 Oct 2015, 07:16
Bunuel wrote: What is the value of the twodigit number x?
(1) The sum of the two digits is 4. (2) The difference between the two digits is 2.
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTION:Question Type: What Is the Value? This question asks for the value of the twodigit number x. Given information in the question stem or diagram: x is a twodigit number. Statement 1: The sum of the two digits is 4. There are only four twodigit numbers that have digits that total 4. They are 13, 22, 31, and 40. Since that allows for more than one value for x, this statement is not sufficient. Eliminate choices A and D. Statement 2: The difference between the two digits is 2. This means that for the tens digit (T) and the units digit (U), either: T – U = 2, or U – T = 2. Many people confuse this statement and think that the tens digit must be larger, such as 64, where T – U = 2. However, 46 would also be acceptable since the difference between the digits is 2. Clearly this statement is not sufficient alone as there are many twodigit numbers where T – U = 2 or U – T = 2. Eliminate choice B. Together: When taking the statements together it is best to start with the more limiting statement. Statement 1 only allows four values: 13, 22, 31, and 40. How many of these values are compatible with Statement 2? Two of them: 31 is T – U = 2; and 13 is U – T = 2. They each have a difference of 2. Since there are still two possible values for the twodigit number x, the correct answer is E. Note: This is a classic C vs. E problem. Almost everyone gets it down to choice C or E, but many people forget to differentiate between 13 and 31. (They either miss one in their list of possibilities for the first statement or assume that it must be 31 for the reasons discussed above.) Remember to do your best to exhaust all possibilities before picking answer C.
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Re: What is the value of the twodigit number x?
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05 Feb 2016, 16:51
I totally follow how you get to (e). but dsn't "1 minus 3" = 2??? If the test meant for us to consider 13, would it not have stated "the difference between the two digits is 2"??? or am i overthinking.
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Re: What is the value of the twodigit number x?
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06 Feb 2016, 19:36
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution. What is the value of the twodigit number x? (1) The sum of the two digits is 4. (2) The difference between the two digits is 2. In the original condition, it is twodigit integer, which makes 2 variables. You need 2 equations in order to match with the number of equations. For 1) 1 equation, for 2) 1 equation, which is likely to make C the answer. When 1) & 2), 13 and 31 are derived, which is not unique and not sufficient. Therefore, the answer is E. > For cases where we need 2 more equations, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
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What is the value of the two digit number x ? (1) The sum of two digi
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15 Jul 2018, 21:46
To the value of the two digit number x Let x = ab where a represents the tens digit and b represents the units digit x is a two digit number = > a \(\neq\) 0 Statement 1The sum of two digits is 4. => a + b = 4 'x' can be 13 or 22, 40 or 31 Statement 1 is not sufficientStatement 2The difference between the two digits is 2 => ab = 2 => 'x' can be 53 or 35 or 97 etc Statement 2 is not sufficientCombining statements 1 and 2From statement 1 we have possible values of 'x' 13 or 22, 40 or 31 => 'x' can be 13 or 31 Statement 1 and 2 together are insufficientHence option E
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Re: What is the value of the two digit number x ? (1) The sum of two digi
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16 Jul 2018, 01:01
Bunuel wrote: What is the value of the two digit number x ?
(1) The sum of two digits is 4.
(2) The difference between the two digits is 2. Statement1: Possible cased of two digits numbers x: 13, 22, 31, and 40. Insufficient. Statement2: Possible cased of two digits numbers x: 13, 31,24,42,35,53 etc. (Tens digitunits digit=2 or Units digitTens digit=2) Insufficient. (1)+(2), Possible cases: 13 & 31. We have obtained more than one values of x. Insufficient. Ans. (E)
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Re: What is the value of the twodigit number x?
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28 Nov 2018, 08:12
Bumping for DS butler project:Project DS Butler: Day 23: Data Sufficiency (DS45) For DS butler Questions Click Here
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Re: What is the value of the twodigit number x?
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28 Nov 2018, 21:35
even i am confused. It says the difference is 2 and not 2. so 31 is the only number with +2 difference. where am i going wrong



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Re: What is the value of the twodigit number x?
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28 Nov 2018, 22:04
Hi naned32 , gp27311Difference between two numbers a and b is always non negative and is equal to ab. Difference between 6 and 4 = difference between 4 and 6 = 64 =2. I hope it is clear now.
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Re: What is the value of the twodigit number x?
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28 Nov 2018, 22:11
thanks gmatbuster i got it now



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Re: What is the value of the twodigit number x?
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29 Nov 2018, 10:53
1) x+y =4 can be many options  1+3 , 3+1 , 2+2 2) xy = 2 again can be many options Combining on and two also will give us two options 13 or 31 hence E
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Re: What is the value of the twodigit number x?
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03 Dec 2018, 23:55
GMATinsight wrote: Bunuel wrote: What is the value of the twodigit number x?
(1) The sum of the two digits is 4. (2) The difference between the two digits is 2.
Kudos for a correct solution. Question : If x= ab where a and b are tens and units digit respectively then find x?Statement 1: a+b=4x may be 13 or 22 or 31. Hence, NOT SUFFICIENT Statement 2: ab = 2 or ba=2Hi, I choose C as I felt in 13, difference of the digits is 2. How to remove this ambiquity???? if ab=2 then x = 31 if ba=2 then x = 13. Hence, NOT SUFFICIENT Combining the two statementsx may still be 13 or 31 Hence, NOT SUFFICIENT Answer: option E



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Re: What is the value of the two digit number x ? (1) The sum of two digi
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06 Dec 2018, 03:12
Shouldn't we also consider the case where x = 13 or 31 as well as the positive counterparts? In this case the answer would of course still be 'E', but thinking about other questions that might crop up where pos vs neg could make all the difference...
In the original statement I interpret the word 'value' to include positive or negative value. Can anyone comment?



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Re: What is the value of the twodigit number x?
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21 Dec 2018, 07:04
Bunuel wrote: Project DS Butler: Day 23: Data Sufficiency (DS45) For DS butler Questions Click HereWhat is the value of the twodigit number x? (1) The sum of the two digits is 4. (2) The difference between the two digits is 2. Kudos for a correct solution.Dear Moderator, Found this question, this same question seems to have been duplicated in the link below, you may wish to merge the same. Thank you. https://gmatclub.com/forum/whatisthe ... l#p2095102
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Re: What is the value of the twodigit number x?
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21 Dec 2018, 07:16
stne wrote: Bunuel wrote: Project DS Butler: Day 23: Data Sufficiency (DS45) For DS butler Questions Click HereWhat is the value of the twodigit number x? (1) The sum of the two digits is 4. (2) The difference between the two digits is 2. Kudos for a correct solution.Dear Moderator, Found this question, this same question seems to have been duplicated in the link below, you may wish to merge the same. Thank you. https://gmatclub.com/forum/whatisthe ... l#p2095102_____________________ Topics Merged. Thank you.
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Re: What is the value of the twodigit number x?
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