Question 1208466: Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. How old will the son be three years from now?
Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
x = Son's age right now
5x = Father's age right now
| 3 years ago | Present | 3 years in the future | | Son’s Age | x-3 | x | x+3 | | Father’s Age | 5x-3 | 5x | 5x+3 |
3 years ago, the father was 24 years older than his son
father's past age = (son's past age) + 24
5x-3 = (x-3) + 24
I'll let the student solve for x.
Once you determine the value of x, compute x+3 to get the final answer.
Answer by ikleyn(52900)  (Show Source):
You can put this solution on YOUR website! .
Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son.
How old will the son be three years from now?
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Since Three years back the father was 24 years older than his son,
at present we have the same difference: today the father is 24 years older than his son.
So, two statements are valid simultaneously:
(1) today the father is 24 years older than his son,
and
(2) At present, the father is 5 times as old as the son.
Let the son age is x years; then the father is 5x years old, and
5x - x = 24.
So, 4x = 24, x = 24/4 = 6 years, so the son is 6 years old now and the father is 6+24 = 30 years old now.
In 3 years from now, the son will be 6 + 3 = 9 years old. ANSWER
Solved.
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