The different between two numbers is 5 and the different between their squares is 65. What is the larger number?

A 8
B 9
C 11
D 13

Correct Answer: 9

Let, larger number = P, smaller Number Is = Q            p - Q = 5           P2 - Q2 = 65      or, (P+Q)(P-Q) = 65            P+Q = 65/5 = 13now,   P+Q = 13           P-Q = 5 (Doing Addition), we get, 2P = 18,  P= 9 (Ans)
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