How Old Is Amir?

Amir has three children. One is the same age as the first number in his age, another is the same age as the second number in his age, and the third is the same age as the sum of the two numbers in his age. None of the children are the same age and the total of everyone’s ages is 45. How old is Amir?

27. His children are 2, 7, and 9.

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