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The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
Since the children are at school, and the sum of their ages, which are factors of the mother's age, is also a factor of the mother's age, then the children ages are 5 and 10 years old.

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Q: A 30 year old mother has two children at school the age of each child is a factor of the mothers age the sum of their ages is also a factor of the mothers age how old are the children?
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