Aspire Faculty ID #14535 · Topic: TANCET MCA 2024 · Just now
TANCET MCA 2024

The sum of the ages of a son and father is 56 years; after four years the age of the father will be three times that of the son. What is the age of the father and the son, respectively?

Solution

Let the present ages be s (son) and f (father).

Given: s + f = 56 … (1)
After 4 years: (f + 4) = 3(s + 4) ⇒ f = 3s + 8 … (2)

Substitute (2) in (1):
s + (3s + 8) = 56 ⇒ 4s = 48 ⇒ s = 12.
Then f = 56 − 12 = 44.

Answer (father, son): 44 years, 12 years

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