SOLUTION: 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 oldest differ between 3 years what are the ages of the three

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Question 276847: 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 oldest differ between 3 years what are the ages of the three children?
Answer by mananth(16946) About Me  (Show Source):
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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 oldest differ between 3 years what are the ages of the three children?
let the youngest be x
The oldest will be 2x
The other child's age will be 32- (2x+x)
2x - (32-3x)=3
2x-32 +3x=3
5x=35
x= 7 the youngest
the oldest will be 14 years
The third child will be 11 years