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Previous Year Question (PYQs)
4
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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