I Am Your Age Plus Half Of My Age

My son asked me, “How old are you?”

And in reply, I said, “I am your age plus half of my age.”

My son is 22, how old am I?

Answer

44 years old.

Explanation:

x = father’s age

ABCDEx = 22 + ½x
x – ½x = 22
ABCD½x = 22
ABCDEx = 44

Q.E.D.

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