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?
:
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 = {{{12/3}}}
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