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Given
    • The ages of two persons differ by 30 years.
    • 10 years ago, the elder one was 4 times as old as the younger one.

To find
    • The present ages of both the persons

Approach and Working out

Suppose the present age of the elder person is a and that of the younger person is b.
    • a – b = 30 ------------(1)

Their ages 10 years ago = a – 10 and b – 10.
    • a – 10 = 4(b – 10)
      o a - 10 = 4b – 40
      o 4b – a =30 ------------(2)

On Adding equations 1 and 2, we get:
    • 3b =60
      o b= 20

On substituting b = 20 in equation 1, we get:
    • a = 50

Thus, option A is the correct answer.

Correct Answer: Option A
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