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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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