SOLUTION: James is three times as old his oldest son. Five years ago, he was four times as old as his son. What is James present age?
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Question 221768: James is three times as old his oldest son. Five years ago, he was four times as old as his son. What is James present age?
Found 2 solutions by chibisan, MathTherapy:
Answer by chibisan(131) (Show Source): You can put this solution on YOUR website!
Now ,
James =3x
oldest son = x
5years ago ,
james = 4(x-5)
oldest son = x-5
4(x-5) = x-5
4x - x = -5 + 20
3x = 15
x = 5
present age of james = 15years old.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
James is three times as old his oldest son. Five years ago, he was four times as old as his son. What is James present age?
Let James' son's current age be S
Then James' current age is 3S, since he's 3 times his son's age
Five years ago, James would have been: 3S - 5, and his son S - 5
Since 5 years ago, James was 4 times his son's age, then we'll have:
3S - 5 = 4(S - 5)
3S - 5 = 4S - 20
3S - 4 S = - 20 + 5
-S = - 15
= 15
This means that the son is currently 15 years-old, which makes James (3 * 15) years-old.
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Check
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Five years ago, James was 40 (45 - 5)
Five years ago, son was 10 (15 - 5)
Five years ago, James (40) was 4 times his son's (10) age.
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