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?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> 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?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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(20059) About Me  (Show Source):
You can put this solution on YOUR website!
Three sisters, Amy,Beth, and Carly are different ages.
`
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