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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SSC CGL Tier-2-17-February-2018 Maths

A and B are positive integers. If $$A + B + AB = 65$$, then what is the difference between $$A$$ and $$B (A, B \leq 15)?$$

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