Age Of Man And Age Of His Daughter Differ By 23 Years And Sum Of Their Ages Is 41 Years

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.

Answers:

Let age of daughter = x years

Then age of man = (x + 23)

∴ x + (x + 23) = 41

x + x + 23 = 41 ⇒ 2x + 23 = 42

⇒ 22x = 41 – 23 = 18

⇒ x = 18/2 = 9

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