SOLUTION: The oldest child in a family of four children is twice as old as the youngest. The two middle children are 12 and 16 years old. If the average age of the children is 13.75, h

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Question 1173669: The oldest child in a family of four children is twice as old as the youngest. The two middle children are 12 and 16 years old. If the average age of the children
is
13.75, how old is the youngest child?
Found 2 solutions by ewatrrr, josgarithmetic:
Answer by ewatrrr(24785) (Show Source):
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Hi,
The oldest child in a family of four children is twice as old as the youngest. The two middle children are 12 and 16 years old.
If the average age of the children is 13.75, how old is the youngest child?
Let x be the youngest child's age & 2x the oldest child's age:
Write as You Read:
(2x + 12 + 16 + x)/4 = 13.75 'average' = sum of ages divided by 4
3x + 28 = 55
3x = 27
x = 9 the youngest child's age
Checking our Work:
(18 + 12 + 16 + 9) / 4 = 13.75 checks
Wish You the Best in your Studies.

Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!

YOUNGEST j MIDDLE Low 12 MIDDLE High 16 OLDEST 2j Average 13.75

You see what to do?