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by Brent@GMATPrepNow » Mon Apr 01, 2013 3:49 pm
sanaa.rizwan wrote:If y is an integer, then the least possible value for |23-5y| is
To minimize |23-5y|, we need to find the value of y such that 23-5y is as close to zero as possible.

Try some values.
y=3: |23-5y| = |23-15| = 8| = 8
y=4: |23-5y| = |23-20| = |3| = 3
y=5: |23-5y| = |23-25| = |-2| = 2
y=6: |23-5y| = |23-30| = |-7| = 7

The least possible value of |23-5y| is 2.

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by srcc25anu » Mon Apr 01, 2013 4:27 pm
To minimize |23-5y| we must watch out for the closet multiple of 5 to 23.
5*4 = 20 (3 units away from 23)
5*5 = 25 (2 units away from 23)

hence we take y= 5 and plugging that into our equation gives |23 - 25| = |-2| = 2.
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