SOLUTION: Lisa is three times as old as Maggie. The difference in their ages is 12 years. What are their ages?

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Question 975576: Lisa is three times as old as Maggie. The difference in their ages is 12 years. What are their ages?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let Lisa's age be x and Maggie's age y
given:
Lisa is three times as old as Maggie.
x=3y..........eq.1

The difference in their ages is 12 years.
x-y=12.........eq.2.....substitute x from eq.1
3y-y=12
2y=12
highlight%28y=6%29
now, go to eq.1 and find x
x=3y..........eq.1
x=3%2A6
highlight%28x=18%29

so, Lisa is 18 years old and Maggie is 6 years old