Question

The sum of two numbers is 16 and their product is 63. The sum of their reciprocal is equal to:

A 63/16 Correct Answer Incorrect Answer
B 8/63 Correct Answer Incorrect Answer
C 60/63 Correct Answer Incorrect Answer
D 16/63 Correct Answer Incorrect Answer

Solution

Let the numbers be = a, b a + b = 16 ab = 63 ∴ Sum of the reciprocal of a and b = 1/a + 1/b ⇒ (b + a)/ab ⇒ 16/63

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