Question 10
A and B are positive integers. If $$A + B + AB = 65$$, then what is the difference between $$A$$ and $$B (A, B \leq 15)?$$
Solution
$$A + B + AB = 65$$
$$A(1+B)+B=65$$
$$A=(65-B)/(1+B)$$
As A and B < 15
let B=10 then A=55/11
=5
Therefore A=5 and B=10 will satisfy and difference =10-5=5
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