SOLUTION: Johen is hulf his father's age now. Fifteen years ago,he was one-third of his father's age. How old wil johe be after 5 year?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Johen is hulf his father's age now. Fifteen years ago,he was one-third of his father's age. How old wil johe be after 5 year?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 625270: Johen is hulf his father's age now. Fifteen years ago,he was one-third of his father's age. How old wil johe be after 5 year?
Found 2 solutions by jankiz, MathTherapy:
Answer by jankiz(13) About Me  (Show Source):
You can put this solution on YOUR website!
You can set up an equation like this: 1/2x-15=1/3x. Add 15, subtract 1/3x and you get 1/6x=15. Multiply by 6, you get x=90. One half of 90 is 45. Subtract 15 from 45, you get thirty. Five years later, he will be 35.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Johen is hulf his father's age now. Fifteen years ago,he was one-third of his father's age. How old wil johe be after 5 year?

Let Johen's age be J, and his father's, F

Then: J+=+%281%2F2%29F ------ F = 2J ---- eq (i)

Also, J+-+15+=+%281%2F3%29%28F+-+15%29 ----- J+-+15+=+%28F+-+15%29%2F3

3J - 45 = F - 15 ----- Multiplying by LCD, 3

3J - F = 30 ----- eq (ii)

3J - 2J = 30 ------ Substituting 2J for F in eq (ii)

J, or Johen is currently 30 years-old

In 5 years' time, Johen will be highlight_green%2835%29 (30 + 5)

=======
Check
=======
Johen's current age: 30

Johen's age 15 years ago: 15 (30 - 15)

Father's current age: 60

Father's age 15 years ago: 45 (60 - 15)

15 years ago, Johen's age (15) was 1%2F3 his father's age then (45)

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com