SOLUTION: Tony and Belinda have a combined age of 56. Belinda is 8 more than twice Tony’s age. How old is each?

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Question 312378: Tony and Belinda have a combined age of 56. Belinda is 8 more than twice Tony’s age. How old is each?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Tony and Belinda have a combined age of 56. Belinda is 8 more than twice Tony’s age. How old is each?
.
Let x = Tony's age
then from "Belinda is 8 more than twice Tony’s age."
2x+8 = Belinda's age
.
From:"Tony and Belinda have a combined age of 56" we get our equation:
x + 2x+8 = 56
3x+8 = 56
3x = 48
x = 16 years old (Tony)
.
Belinda:
2x+8 = 2(16)+8 = 16+8 = 24 years old