SOLUTION: Can you solve this problem?: Paul is 20 years older than EVan. Ten years ago, Pau lwas twice as old as Evan was then. How old is each now?

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Question 657563: Can you solve this problem?:
Paul is 20 years older than EVan. Ten years ago, Pau lwas twice as old as Evan was then. How old is each now?

Answer by kevwill(135) About Me  (Show Source):
You can put this solution on YOUR website!
Let p be Paul's age and q be Evan's age. Paul is 20 years older than Evan, so:
p = q + 20
Ten years ago, Paul was twice as old as Even was then, so:
(p - 10) = 2 * ( q - 10), or
p - 10 = 2 * q - 20
Substituting q + 20 for p, we have:
q + 20 - 10 = 2 * q - 20
q + 10 = 2 * q - 20
Subtracting q from and adding 20 to each side:
q + 10 - q + 20 = 2 * q - 20 - q + 20
30 = q
So Evan is 30 years old, and Paul is 30+20 = 50 years old.