What is the greater of two number whose product is 90, if sum of these two numbers exceeds their difference by 30 ?

A 15
B 60
C 75
D 90

Correct Answer: 15

Let the numbers be p and q . where p > q.According to the question,(p + q) – (p – q) = 30⇒ p + q – p + q = 30⇒ 2q = 30 ⇒ q = 30 = 15 2 ∴ pq = 900⇒ 15p = 900 ⇒ p = 900/15 = 60
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