Question

Jade's age now is the same as Timmy's five years hence. Timmy's age six years ago was half Jade's age now. Find the present age of each.

Answer 1

let:
J=jades age now
T=Timmy's age now
interpretation:

J=T+5-----eqtn.1
T-6=J/2----eqtn.2

substitute eqtn 1 to 2

T-6=(T+5)/2
2(T-6)=T+5
2T-12=T+5
T=17
Timmy's age now is 17 yrs. old
Subs. to eqtn. 2

J=T+5
J=17+5
J=22
Jade's age now is 22 yrs. old.

check:
Timmy age 6 years ago is half of jades
T-6=J/2
17-6=22/2
11=11
check!!!!!!!!!!!!!!!!!