IIT JEE , AIEEE Forum - Mathematics , Algebra - find min a + b such that a+11b and a+13b are multiples of 13 and 11 resp. a,b>0

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2 May 2008 12:38:23 IST

Subject: Re:find min a + b such that a+11b and a+13b are multiples of 13 and 11 resp. a,b>0

kirpal_06391 (0)

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No I'm also getting 7.

a+11b = k(13)

a+13b= k'(11)

(a+11b) + 2b =k'(11)

b = k'(11) - k(13) (but b>0) => b = 9/2 and therefore, a = 5/2

Hence a + b = 7

Kirpal Singh

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