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