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    Question

    A and B are positive integers. If A + B + AB = 65, then

    what is the difference between A and B (A, B ≤ 15)?
    A 3 Correct Answer Incorrect Answer
    B 4 Correct Answer Incorrect Answer
    C 5 Correct Answer Incorrect Answer
    D 6 Correct Answer Incorrect Answer

    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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