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The sum of two numbers is 30 and their product is 60. What will be the sum of their reciprocals?

The sum of two numbers is 30 and their product is 60. What will be the sum of their reciprocals? Correct Answer 1/2

Given Data:

Sum of two numbers = 30

Product of two numbers = 60

Calculation:

Let the two numbers be a and b.

a + b = 30 and ab = 60.

Sum of their reciprocals:

(1/a) + (1/b) = (a + b)/ab

(a + b)/ab = 30/60 = 1/2

∴ The sum of their reciprocals is 1/2.

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