Question about Vivendi Math Blaster Algebra (03763) for PC, Mac

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Four years ago allan was three less than twice roys age in 5years allan will be 6yeras older than roy how old are they?

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Allan is 19 and Roy is 13.

Solution:

First we have 2 variables, their ages: I used Allan = x & Roy = y
Equation 1: X - 4 = 2*(Y-4) - 3
We can ignore the 5 years in the second part of the statement. Allan will always be 6 years older than Roy whether it be 5 years from now or ten years form now.
Equation 2: X = Y + 6

Substitute Y + 6 for X in equation 1:
X - 4 = 2*(Y-4) - 3 becomes Y + 6 - 4 = 2*(Y-4) - 3
That simplifies to Y + 2 = 2Y - 8 - 3
Rewrite it again: Y + 2 = 2Y - 11
Add 11 to both sides: Y + 13 = 2Y
Subtract Y from both sides: 13 = Y

Now plug 13 in for y in Equation 2
X = Y + 6
X = 13 + 6
X = 19

Posted on Oct 09, 2009

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let c = cory's age now let s = her sisters age now
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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?
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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)
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Now, you can solve for Rose and eventually come up with 10

I hope this helps.

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