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by usmabama » Sat Jun 29, 2013 5:33 am
This is how I set it up:

The problem tells us F=3S and (F-3)(S-3)=16S

FS-3F-3S+9=16S

We can also plug 3S in for F because that was given to us, so:

3S^2-9S-3S+9=16S
3S^2-28S+9=0
(3S-1)(S-9)

So S can only equal 9.
Plug that into the original equation and F=3(9)=27
It checks out for the other equation too
(27-3)(9-3)=16(9)
(24)(6)=16(9)...reduce to make it easier
(3)(2)=(2)(3)...
Answer=27
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by Brent@GMATPrepNow » Sat Jun 29, 2013 6:10 am
Imsukhi wrote:A father is three times as old as his son. The product of fathers age and son,s age 3 years ago is 16 Times the present age of the son.
What is fathers age..?
24
25
27
29
Pls equate
A father is three times as old as his son.
On GMAT age problems, the ages of the individuals are typically integers.
So, we can expect the father's age to be a multiple of 3.
Since only 24 and 27 are multiples of 3, we can eliminate the other answers and just test 24 and 27 and see which one works.

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by Brent@GMATPrepNow » Sat Jun 29, 2013 6:15 am
The product of father's age and son's age 3 years ago is 16 Times the present age of the son.
By the way, the wording here is somewhat ambiguous.
Does 3 years ago refer to the son's age only, or both the son's age AND the father's age?
So, we have two possible scenarios:
1) The product of father's current age and son's age 3 years ago . . . .
2) The product of father's age 3 years ago and son's age 3 years ago . . . .

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Brent
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