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Sum of two numbers

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Sum of two numbers [#permalink] New post 12 Jun 2009, 12:37
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If two digit integer M and N are positive and have same digits but in reverse order which of the following can not be the sum of M and N.
a). 181
b). 165
c). 121
d). 99
e). 44
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Re: Sum of two numbers [#permalink] New post 12 Jun 2009, 12:42
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Let M = 10x+y (where x is tens digit and y is units digit)
N = 10y+x

M+N=10x+y+10y+x = 11(x+y)

This means that the sum would be divisible by 11.

We have been asked, which of the given option cannot be possible. So its 181 only, as all other nos are divisible by 11.

Answer A
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Re: Sum of two numbers [#permalink] New post 12 Jun 2009, 14:11
it has to be multiple of 11. and A is not. Hence, answer is A.
Re: Sum of two numbers   [#permalink] 12 Jun 2009, 14:11
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