SOLUTION: FIVE YEARS AGO GEMMA WAS TWICE AS OLD AS TONY IS NOW, IN SEVEN YEARS SHE WILL BE FIVE TIMES AS OLD TONY IS NOW WHAT ARE THEIR CURRENT AGES?

Question 314878: FIVE YEARS AGO GEMMA WAS TWICE AS OLD AS TONY IS NOW, IN SEVEN YEARS SHE WILL BE FIVE TIMES AS OLD TONY IS NOW WHAT ARE THEIR CURRENT AGES?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
FIVE YEARS AGO GEMMA WAS TWICE AS OLD AS TONY IS NOW,
IN SEVEN YEARS SHE WILL BE FIVE TIMES AS OLD TONY IS NOW
WHAT ARE THEIR CURRENT AGES?
:
let g = G's present age
let t = T's present age
:
Write an equation for each statement:
:
"FIVE YEARS AGO GEMMA WAS TWICE AS OLD AS TONY IS NOW,"
g - 5 = 2t
g = 2t + 5
:
"IN SEVEN YEARS SHE WILL BE FIVE TIMES AS OLD TONY IS NOW"
g + 7 = 5t
Replace g with (2t+5)
(2t + 5) + 7 = 5t
2t + 12 = 5t
12 = 5t - 2t
12 = 3t
t =
t = 4 yrs is T's present age
then
g = 2(4) + 5
g = 13 yrs is G's present age
:
:
You can check solution in the 1st equation

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