SOLUTION: Jack’s father is three times as old as Jack. Five years ago, the sum of there ages was 34. How old is Jack’s father now?

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Question 1205458: Jack’s father is three times as old as Jack. Five years ago, the sum of there ages was 34. How old is Jack’s father now?

Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
J/3, Jack's age now
J, his father's age now

Five years ago:
%28J%2F3-5%29%2B%28J-5%29=34

J%2F3%2BJ=44
J%2B3J=132
4J=132

highlight%28J=33%29

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let Jack’s age be x and Jack’s father age y
if Jack’s father is three times as old as Jack, we have
y=3x...eq.1
if five years ago, the sum of there ages was 34, we have
%28y-5%29%2B%28x-5%29=34...eq.2
substitute y+from eq.1
3x-5%2B%28x-5%29=34...solve for x
3x-5%2Bx-5=34
4x-10=34
4x=34%2B10
x=44%2F4
x=11
go to
y=3x...eq.1, substitute x
y=3%2A11
y=33
Jack’s father is 33 years old now