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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.
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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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