A and B are positive integers. If A + B + AB = 65, then what is the difference between A and B (A, B ≤ 15) ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 ie 5.
A + B + AB = 65
A(1 + B) + B = 65
A = (65 - B)/(1 + B)
as A < 15 and B < 15
Let, B = 10, A = 55/11 = 5
Therefore, A = 5, B = 10
A - B = 5