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?
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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) (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) (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: ------ F = 2J ---- eq (i)
Also, -----
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 (30 + 5)
=======
Check
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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 his father's age then (45)
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