SOLUTION: A is 1/4 as old as B.5 years later A will be 1/3 as old as B.How old is A now?

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Question 272191: A is 1/4 as old as B.5 years later A will be 1/3 as old as B.How old is A now?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A is 1/4 as old as B.
A = 1%2F4B
:
5 years later A will be 1/3 as old as B.
A + 5 = 1%2F3(B+5)
replace A with 1%2F4B
1%2F4B + 5 = 1%2F3(B+5)
multiply by 12 to get rid of the fractions; results:
3B + 12(5) = 4(B+5)
:
3B + 60 = 4B + 20
:
60 - 20 = 4B - 3B
:
B = 40 yrs
then
A = 1%2F4*40
A = 10 yrs