Let the age of father be F and that of son be S.
F + S = 50 (Given)
S = 50 – F _____ (i)
Six years back father's age was 6 more than thrice his son's age.
According to problem:
(F – 6) = 3(S – 6) + 6 _____ (ii)
Substituting the value of equation (i) in (ii), we get:
F – 6 = 3(50 – F – 6) + 6
⇒ F – 6 = 3(44 – F) + 6
⇒ F – 6 = 132 – 3F + 6
⇒ F + 3F = 132 + 6 + 6
⇒ 4F = 144
⇒ F = 144/4
⇒ F = 36
So, father's age 6 years hence = (36 + 6) = 42
Hence, ‘42’ is the correct answer.
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