Question

The age of a man and the age of his daughter differ by 23 years and the sum of their ages is 41 years. Find the age of the man.

Answer 1

Let age of daughter = x years

Then age of man = (x + 23)

∴ x + (x + 23) = 41

x + x + 23 = 41

⇒ 2x + 23 = 41

⇒ 2x = 41 - 23 = 18

⇒ x = `18/2 = 9`

∴ Age of man = x + 23 = 9 + 23 = 32 years