SOLUTION: peter is 1/4 as old as john. in 5 years time, peter will be 1/3 as old as john. how old is peter now?

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Question 841699: peter is 1/4 as old as john. in 5 years time, peter will be 1/3 as old as john. how old is peter now?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
peter is 1/4 as old as john.
p = 1%2F4j
multiply both sides by 4
4p = j
in 5 years time, peter will be 1/3 as old as john.
p + 5 = 1%2F3(j+5)
multiply both sides by 3
3(p+5) = j + 5
3p + 15 = j + 5
3p = j + 5 - 15
3p = j - 10
Replace j with 4p
3p = 4p - 10
10 = 4p - 3p
p = 10
how old is peter now? 10 yrs old