SOLUTION: In ten years time Tom will be twice as old as Sally. Eight years ago Tom was 5 times older than Sally.Let Tom�s current age in years be x and Sally�s current age in years by y.

Question 349051: In ten years time Tom will be twice as old as Sally. Eight years ago Tom was 5 times older than Sally.Let Tom�s current age in years be x and Sally�s current age in years by y.

a. Write down and simplify two different equations connecting their ages.
b. Solve these equations simultaneously to find Tom and Sally�s current ages

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
tom = x
Sally =y
...
10 years later
tom = x+10
sally = y+10
...
x+10 = 2(y+10)
x+10 =2y+20
x-2y=10....................1
8 years ago
tom's age = x-8
sally's age = y-8
...
x-8=5(y-8)
x-8 = 5y-40
x-5y-40+8
x-5y=-32....................2
multiply equation by -1 and add to 2
-x+2y+x-5y=-10-32
-7y=-42
/7
y=-42/-7
y= 6 years = Sally's age now
...
...
plug value of y in equation 1
x-2*6=10
x-12=10
x= 22 tom's age now
..
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