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The sum of two numbers is 25 and the product is 35. The sum of their reciprocals is:
Question

The sum of two numbers is 25 and the product is 35. The sum of their reciprocals is:

A.

37\frac{3}{7}​​

B.

67\frac{6}{7}​​

C.

47\frac{4}{7}​​

D.

57\frac{5}{7}​​

Correct option is D

Given:
Sum of two numbers = 25
Product of two numbers = 35
Formula Used:
Sum of reciprocals = 1a+1b=a+bab\frac1a +\frac 1b = \frac{a+b}{ab}​​
Solution:
Let the two numbers be 'a' and 'b'.
Given, a + b = 25 and ab = 35.
Sum of reciprocals = a+bab=2535=57 \frac{a+b}{ab} = \frac{25}{35} = \frac {5}{7}


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