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What is the value of the positive, two-digit number x?

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Bunuel
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What is the value of the positive, two-digit number x? [#permalink] New post   28 May 2017, 02:12
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A
B
C
D
E

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15% (low)

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77% (00:59) correct 23% (01:09) wrong based on 94 sessions
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What is the value of the positive, two-digit number x?

(1) The sum of its digits is 4.
(2) The difference of its digits is 4.
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C
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Re: What is the value of the positive, two-digit number x? [#permalink] New post   28 May 2017, 02:18
10x + y is the number
(1) says x + y = 4 many possibilities including x=4 and y=0
not sufficient

(2) says x-y = 4 many possibilities including x = 4 and y= 0
not sufficient

combining only x=4 and y=0 is the unique solution and hence C



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What is the value of the positive, two-digit number x? [#permalink] New post   28 May 2017, 02:36
What is the value of the positive, two-digit number x?

(1) The sum of its digits is 4.
If a and b are the two digits, knowing a+b = 4 we may have many options, and cannot clearly give a two digit number,x.
Hence, insufficient.

(2) The difference of its digits is 4.
If a and b are the two digits, knowing a-b = 4 we may have many options, and cannot clearly give a two digit number,x.
Hence, insufficient.

But combining the statements, we can clearly give the values of a(4) and b(0).(Option C)
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Re: What is the value of the positive, two-digit number x? [#permalink] New post   29 May 2017, 02:58
Statement 1 leaves us with 4 answers, which are 13, 22, 31, 40. Insufficient.

Statement 2 leaves us with 11 answers, which are 15, 26, 37, 40, 48, 51, 59, 62, 73, 84, 95. Insufficient.

Combine both statement, we get only 40 as the answer. Sufficient.

Option C is correct.
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Re: What is the value of the positive, two-digit number x? [#permalink] New post   29 May 2017, 03:40
stat1: 22, 40 etc,,,fit in ,,,not suff

stat2: 62, 84 etc.. not suff

both combined...it can be only 40... suff

ans C
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What is the value of the positive, two digit number x? [#permalink] New post   16 Sep 2018, 03:17
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Let X=ab

1) a+b=4
Can be 4+0 or 2+2
Not sufficient.

2) a-b=4
Can be 8-4 , 6-2, 4-0
Not sufficient.

Combining, we get a=4 and b=0 so C is sufficient.
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What is the value of the positive, two digit number x? [#permalink]
16 Sep 2018, 03:17
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Bunuel
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