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Let say that the age of the older sibling is x, then the age of the younger child is (1/3)x or x/3. So we have,

x/3 + x = 16 multiply both sides by 3

x + 3x = 48

4x = 48 divide by 4 to both sides

x = 12 the age of the older

x/3 = 12/3 = 4 the age of the younger.

Thus, the younger child is 4 years old.

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Q: A child is one third the age of an older sibling The sum of the children's age is 16 How old is the younger child?
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