SOLUTION: Simon is one fifth of Danielle's age. In 6 Years time, Simon will be one third of Danielle's age. How old is Danielle now?

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Question 1209904: Simon is one fifth of Danielle's age.
In 6 Years time, Simon will be one third of Danielle's age.
How old is Danielle now?
Found 3 solutions by josgarithmetic, timofer, greenestamps:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
If you want to follow exactly the way described, then x for Simon and d for Danielle,

system%28x=d%2F5%2Cand%2Cx%2B6=%28d%2B6%29%2F3%29, and solve!

cross%28d=45%29

Answer by timofer(105) About Me  (Show Source):
You can put this solution on YOUR website!
NO!
Danelle, 30 and Simon, 6.

Solve could be like this.
system%28x=d%2F5%2Cx%2B6=%28d%2B6%29%2F3%29
d%2F5%2B6=%28d%2B6%29%2F3
15%28d%2F5%2B6%29=15%28%28d%2B6%29%2F3%29
3d%2B15%2A6=5%28d%2B6%29
15%2A6-5%2A6=2d
10%2A6=2d
d=30 so Danielle is 30.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Simon is one-fifth of Danielle's age -- i.e., Danielle is 5 times as old as Simon:

Let x be Simon's age
Then Danielle's age is 5x.

In 6 years, their ages will be x+6 and 5x+6. At that time, Simon will be one-third as old as Danielle -- i.e., she will be 3 times as old as he is:

5x%2B6=3%28x%2B6%29
5x%2B6=3x%2B18
2x=12
x=6

Simon's age is x = 6
Danielle's age is 5x = 30

ANSWER: Danielle is 30