SOLUTION: Three sisters, Amy,Beth, and Carly are different ages. Amy is 7 years older than Beth. Carly is twice the age of Beth. The sum of their ages is 47. What are their ages?

Question 1107937: Three sisters, Amy,Beth, and Carly are different ages. Amy is 7 years older than Beth. Carly is twice the age of Beth. The sum of their ages is 47.
What are their ages?

Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
Three sisters, Amy,Beth, and Carly are different ages.
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Amy is 7 years older than Beth.

A = B+7

Carly is twice the age of Beth.

C = 2B

The sum of their ages is 47

A+B+C = 47

What are their ages?

Substitute B+7 for A and 2B for C in

 A  + B +  C = 47

B+7 + B + 2B = 47

Simplify and solve for B.
Then to get A, substitute what you got for B
in A = B+7.
Then to get C, substitute what you got for B
in C = 2B.

Edwin

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