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x and y are 2-digt integers. What is the difference between
[#permalink]
08 Jun 2007, 14:31
x and y are 2-digt integers. What is the difference between two tens' digit?
1). x-y=27
2). Units' digit of x minus the units' digit of y is greater than 3.
Answer with explanation please,
Any template or thoughts on how to attack this kinda problem.
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Re: x and y are 2-digt integers. What is the difference between
[#permalink]
08 Jun 2007, 15:13
priyankur_saha@ml.com wrote:
x and y are 2-digt integers. What is the difference between two tens' digit? 1). x-y=27 2). Units' digit of x minus the units' digit of y is greater than 3.
Answer with explanation please, Any template or thoughts on how to attack this kinda problem.
I'd have to go with C. I picked #s
1 and 2 insufficient.
While picking #s it seemed that the difference b/w the units digit of x and y was either negative 3 or +ve 7. When the difference b/w the units digit was -ve the diff b/w the tens was 3. When the diff b/w the units digit was 7 the diff b/w the tens was 2. Anyone have a better method?
Re: x and y are 2-digt integers. What is the difference between
[#permalink]
08 Jun 2007, 17:02
priyankur_saha@ml.com wrote:
x and y are 2-digt integers. What is the difference between two tens' digit? 1). x-y=27 2). Units' digit of x minus the units' digit of y is greater than 3.
Answer with explanation please, Any template or thoughts on how to attack this kinda problem.
suppose if
if x = 49 and y = 22, x - y = 27 and the difference between tens digits of x and y is 2.
if x = 40 and y = 13, x - y = 27 and the difference between tens digits of x and y is 3.
Re: x and y are 2-digt integers. What is the difference between
[#permalink]
09 Jun 2007, 19:26
lets say x = AB y = CD
According to 1)
AB
-CD
-----
27
We have to find A - C
Now there two possibilities 3 and 2.
So A is insufficient
According to 2
B-D > 3 which is excellent news. Because it tells us that there is no carry over from the A to B in order to subtract D. Thus It is sufficient to know that A-C = 2.
Re: x and y are 2-digt integers. What is the difference between
[#permalink]
10 Jun 2007, 17:11
x and y are 2-digt integers. What is the difference between two tens' digit?
1). x-y=27
2). Units' digit of x minus the units' digit of y is greater than 3
______________________________________________________
Set:
x = AB
Y = CD
1) Stated that X-Y = 27; thus, we know that B-D=7. Therefore, the possible values for (B,D) are (0,3) (7,0) (8,1) (9,2). If (B,D) = (0,3), then we know that we have to subtract 1 from A. If (B,D) = (7,0) OR (8,1) OR (9,2), we do not substract 1 from A. This means that we cannot determine A-C. This statement is INSUFFICIENT.
2) Stated that B-D > 3. We only know the unit digit substraction, we don't know the tens digits; thus, INSUFFICIENT.
Together, we know that B-D > 3. This eliminate the possible value of (B,D) = (0,3). Since (B,D) not equal to (0,3), we know that we don't have to substract one from A; thus, A-C must be 2. SUFFICIENT.
Let me know if there is any mistake.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
gmatclubot
Re: x and y are 2-digt integers. What is the difference between [#permalink]