Age Word Problem: Find Father & Son's % Difference

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SUMMARY

The discussion revolves around a poorly worded age problem where a father is twice as old as his son, and six years ago, he was thrice as old. The equations derived are: f = 2s (father's age) and f - 6 = 3(s - 6) (father's age six years ago). The solution yields the son's age as 12 years and the father's age as 24 years. Participants express confusion regarding the term "percentage" in the problem, concluding that the question is misleading and likely intended to ask for the son's age six years prior, which is 6 years.

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Homework Statement


If a father is twice as old as his son. six years ago father was thrice as old as his son. Find the percentage.
A.10
B.12
C.120
D.6

Homework Equations

The Attempt at a Solution


first i am trying to express the equation
f=age of father
s=age of son
f=2s (father is twice as old as his son)
f-6=3(s-6) (6 years ago thrice as old as his son)

I got s=12 years old
and f=24 years old.
what does it mean by percentage here?
 
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alijan kk said:

Homework Statement


If a father is twice as old as his son. six years ago father was thrice as old as his son. Find the percentage.
A.10
B.12
C.120
D.6

Homework Equations

The Attempt at a Solution


first i am trying to express the equation
f=age of father
s=age of son
f=2s (father is twice as old as his son)
f-6=3(s-6) (6 years ago thrice as old as his son)

I got s=12 years old
and f=24 years old.
what does it mean by percentage here?

I don't know; it makes no sense.
 
I agree w/ your answer although it's just ridiculous (problem's fault, not yours) since that would mean the father had the son when he was 12 years old.

I agree w/ Ray that asking for a percentage makes no sense. Did you state the problem exactly as worded?
 
Ray Vickson said:
I don't know; it makes no sense.
If the question is "what is the age of the son 6 years before..
s-6=6
then six would be correct answer?

In the book 6 is the answer for the original question(percentage)
 
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phinds said:
I agree w/ your answer although it's just ridiculous (problem's fault, not yours) since that would mean the father had the son when he was 12 years old.

I agree w/ Ray that asking for a percentage makes no sense. Did you state the problem exactly as worded?
yes exactly it is written like that. but the answer is six so i think it is asking for the age of son six years before
 
alijan kk said:
yes exactly it is written like that. but the answer is six so i think it is asking for the age of son six years before
In that case it is REALLY a horribly worded problem.
 

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