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# If y is an integer, then the least possible value of |23-5|

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Joined: 25 Feb 2013
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Re: If y is an integer, then the least possible value of |23-5|  [#permalink]

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12 Jan 2018, 23:17
hi Bunuel niks18
amanvermagmat

I want to know flaw in below approach:

when some expression≤0 then |some expression|=−(some expression). For example: |−5|=−(−5) = 5

Based on this understanding , I approached the problem that if I need to find least possible value of |23-5y|
I need to find least negative value. In other words 5y should be as high as possible so that 23-5y in still lower.
Meaning if y is maximum say 5 among given choices then |23-5y| = |23-(5)*(5)| ie |23-25|
ie |-2| or 2 which is answer option (E)

Also |23-5y| for y=2 in similar way yields |23-10| ie 13 which is a bigger value.

Am I incorrect since I am finding list possible value of y and not |2x-y|

you did everything right but probably read the question wrong and hence you are confused here. would suggest you read the question carefully and try to understand what the question is asking. is it really asking the maximum value of y?
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Re: If y is an integer, then the least possible value of |23-5|  [#permalink]

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26 Jan 2019, 11:44
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Re: If y is an integer, then the least possible value of |23-5|   [#permalink] 26 Jan 2019, 11:44

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