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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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