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1. 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. 15
- C. 15
- D. 15
Answer: Option B
Explanation:
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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