Question:
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?
[A].
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?
[A].
| 12 |
| 35 |
[B].
| 1 |
| 35 |
[C].
| 35 |
| 8 |
[D].
| 7 |
| 32 |
Answer: Option A
Explanation:
Let the numbers be a and b. Then, a + b = 12 and ab = 35.
| a + b | = | 12 | 1 | + | 1 | = | 12 | ||||
| ab | 35 | b | a | 35 |
| Sum of reciprocals of given numbers = | 12 |
| 35 |