SOLUTION: Paula is 12 years older than her brother Bob. Four years from now Bob wil be two thirds as old as Paula. How old are they now?

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Question 345470: Paula is 12 years older than her brother Bob. Four years from now Bob wil be two thirds as old as Paula. How old are they now?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.P=B%2B12
.
.
.
In 4 years, Paula will be P+4, Bob will be B+4.
B%2B4=%282%2F3%29%28P%2B4%29
Multiply by 3.
3%28B%2B4%29=2%28P%2B4%29
3B%2B12=2P%2B8
3B%2B4=2P
Substitute from eq. 1,
3B%2B4=2%28B%2B12%29
3B%2B4=2B%2B24
B=20
Then,
P=20%2B12
P=32
Paula is 32, Bob is 20.