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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.
Solution
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
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