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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?
Rose + 25 = Dad
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
Rose + 25 = Dad
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.

Posted on Jul 21, 2008

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Cory is 6 years older than her sister.Four years ago, she was 4 times as old her sister.how old is cory now?


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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Please take the time to rate this answer
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So the father is 3 times as old as his daughter.
Let F represent the age of the fatherLet D represet the age of the daughter
So we know from the first sentence,
F = 3 * D
From the second sentence, 12 years from now the father is 1 year les than twice his daughters age,
First, lets assume it's not 12 years from now (to avoid confusion), we would haveF + 1= 2 * D
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