(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

if a+11b is completely divisible by 13 and a+13b is completely divisible by 11 then find the the smallest possible value of a+b. a and b are positive integers.

the answer is 28

2. Relevant equations

a+11b= 13x

a+13b= 11y

3. The attempt at a solution

i have equated them many times but am still getting 3 variables. hope anyone knows how to solve this.

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# Homework Help: A simple problem on linear equation in two variables

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