Age problem Please help me to solve this problem, I hardly got the solution. Rose is 25 years younger than her father. Five years ago, her father was twice as old as she will be 5years from now. How old is Rose today? Ans. 10 years old. Thanks, Junnel Duluguin

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• jufdul Jul 22, 2008

Thank you so much. This is a big help for me.

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Since you have the answer, the easiest way to work with this is to work with real numbers and break it down. What are the knowns?
10 + 25 = 35 (today)
5 years ago, Dad (then 30) was 2x old as Rose will be 5 years from now (+5), or (30/2) -5 = 10

You can also put this into formulas
Dad - 5 = 2 * (Rose + 5)

So, if Dad = Rose + 25, you can substitute one for the other in the 2nd formula, like so:

(Rose + 25) - 5 = 2 * (Rose + 5)
Rose + 20 = 2 * (Rose + 5)
Now, you can solve for Rose and eventually come up with 10

I hope this helps.

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let c = cory's age now let s = her sisters age now
cory's age now = sisters age + 6 years
=> c = s + 6
4 years ago, cory was 4 years younger ( i.e. c-4) and her sister was 4 years younger (s- 4)
4 years ago cory was 4 times older than her sister
=> c - 4 = 4*(s-4)
We can simplify this to c = 4s - 16 +4 c = 4s - 12
We can then use simultaneous equations to solve the two equations
(i) c = s + 6 (ii) c = 4s - 12
If we multiply both sides of equation (i) by 4 we get (iii) 4c = 4s + 24
We can then subtract equation (ii) from equation (iii) to eliminate the '4s' term => ( 4c = 4s + 24 ) - (c = 4s - 12) => 4c - c = 4s +24 - 4s +12 => 3c = 4s - 4s +36 => 3c = 36 => c = 36/3 => c = 12 => Cory's age now = 12
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So we know from the first sentence,
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