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?
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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 = {{{60/5}}}
t = 12 is Tiana's age
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you can check this by finding A's age and checking it in the 2nd statement

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