The sum of present ages of a father and his son is 50 years. After 5 years, the age of the father becomes thrice the age of his son. Find their present ages.
Let the present ages of the father be x and the son be y.
given, The sum of present ages of a father and his son is 50 years.
⇒ x + y = 50
⇒ x = 50 – y …[1]
also, After 5 years, the age of the father becomes thrice the age of his son
⇒ x + 5 = 3(y + 5) …[2]
By substituting eq[1] in eq[2]
we get,
50–y + 5 = 3(y + 5)
⇒ y = 10
and by eq[1] and y = 10
x = 40
so the present age of father is 40 years and present ages of son is 10 years.
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