If the sum of two numbers is 50 and the H.C.F and L.C.M of these numbers are…

2024

If the sum of two numbers is 50 and the H.C.F and L.C.M of these numbers are 10 and 60. Then what will be the sum of the reciprocals of the numbers?

Answer: A. 1/12 — Let the numbers be a and b. Then, a + b = 50 and ab = 10 x 60 = 600. The required sum =1/a+1/b = a+b/ab= 50/600= 1/12

  1. A.

    1/12

  2. B.

    1/14

  3. C.

    1/15

  4. D.

    1/13

Attempted by 1791 students.

Show answer & explanation

Correct answer: A

Let the numbers be a and b.

Then, a + b = 50 and ab = 10 x 60 = 600.

The required sum =1/a+1/b = a+b/ab= 50/600= 1/12

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