SOLUTION: The sum of Tiana's and Audette's age is 20 years. Double tiana's age is equal to triple Audette's age. How old is Tiana?
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Question 474241: The sum of Tiana's and Audette's age is 20 years. Double tiana's age is equal to triple Audette's age. How old is Tiana?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of Tiana's and Audette's age is 20 years.
Double tiana's age is equal to triple Audette's age.
How old is Tiana?
:
Write an equation for each statement:
:
"The sum of Tiana's and Audette's age is 20 years. "
t + a = 20
a = (20-t)
:
"Double tiana's age is equal to triple Audette's age."
2t = 3a
Substitute (20-t) for a
2t = 3(20-t)
2t = 60 - 3t
Add 3t to both sides
2t + 3t = 60
5t = 60
t =
t = 12 is Tiana's age
:
you can check this by finding A's age and checking it in the 2nd statement
:
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