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The youngest child is x years, and the oldest is 2x. The difference between the two older children is three years, thus 2x-3.

Now put it together:

x (youngest) + 2x (oldest) + 2x-3 (differene between the two oldest) hence:

x + 2x + 2x - 3 = 32 (next simplify)

5 x - 3 = 32 (next add 3 to each side)

5x = 35 (next divide both sides by 5)

x = 7

The youngest child is 7 (x), the oldest is 14 (2x) and the middle one is 11 (2x - 3).

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Q: The sum of the ages of three children is 32 The age of the oldest is twice the age of the youngest The ages of the two older children differ by three years What are the ages of the three children?
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