SOLUTION: Jason is 20 years older than tiana. In 5 years, the sum of their ages will be 84. How old are they now

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Question 1186069: Jason is 20 years older than tiana. In 5 years, the sum of their ages will be 84. How old are they now

Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let Jason's age be J and Tiana's age T
if Jason is 20+years older than Tiana. we have
J=T%2B20 .....eq.1
if in 5 years, the sum of their ages will be 84, we have
%28J%2B5%29%2B%28T%2B5%29=84
J%2BT%2B10=84
J%2BT=84-10
J%2BT=74 .......eq.2
substitute J from eq.1 in eq.2
T%2B20%2BT=74
2T=74-20
2T=54
T=27
go to
J=T%2B20 .....eq.1, substitute T
J=27%2B20
J=47

Jason is 47 and Tiana is 27 years old now

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28y-x=20%2Cx%2By%2B5%2B5=84%29

Elimination Method for system%28-x%2By=20%2Cx%2By=74%29