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Updated on: 01 May 2019, 03:31
Originally posted by andrewnorway on 08 Nov 2006, 11:14.
Last edited by Bunuel on 01 May 2019, 03:31, edited 2 times in total.
Last edited by Bunuel on 01 May 2019, 03:31, edited 2 times in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.
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The sum of positive integers x and y is 77. What is value of xy?
(1) x = y + 1
(2) x and y have the same tens digit.
(1) x = y + 1
(2) x and y have the same tens digit.
Show SpoilerMy doubt
I answered that "statement 1 alone is sufficient, but statement 2 alone is not sufficient.
The test said that each statement alone is sufficient.
How can this be? If X = 32 and Y = 35, then XY = 1120 but if X= 33 and Y = 34, then XY = 1122. They have the same 10's digit in each case, but not the same product.
Am I missing something obvious or is the answer wrong in gmatprep?
Thanks,
Andrew
The test said that each statement alone is sufficient.
How can this be? If X = 32 and Y = 35, then XY = 1120 but if X= 33 and Y = 34, then XY = 1122. They have the same 10's digit in each case, but not the same product.
Am I missing something obvious or is the answer wrong in gmatprep?
Thanks,
Andrew
20 Aug 2013, 09:58
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spjmanoli
Actually we don't get fractions.
The sum of positive integers x and y is 77. What is value of xy?
Given that \(x+y=77\) find the value of \(xy\).
(1) x = y + 1 --> \((y+1)+y=77\) --> \(y=38\) and \(x=39\) --> \(xy=39*38\). Sufficient.
(2) x and y have the same tens digit. In order the sum to be 77 the tens digit of of x and y must be 3, thus \(x=38\) and \(y=39\) or vise-versa, in either case \(xy=39*38\). Sufficient.
Answer: D.
Hope this helps.
08 Nov 2006, 11:23
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andrewnorway
32+35 is not equal to 77
There are only 2 numbers that add up to 77 and have the same 10 digits. They are 38 and 39. Therefore either statement is sufficient - D
