SOLUTION: The age of A is twice that of B.8 years hence their ages will be in the ratio 5:3.Find their present ages?

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Question 889306: The age of A is twice that of B.8 years hence their ages will be in the ratio 5:3.Find their present ages?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The age of A is twice that of B.
a = 2b
:
8 years hence their ages will be in the ratio 5:3.
%28%28a%2B8%29%29%2F%28%28b%2B8%29%29 = 5%2F3
Cross multiply
3(a+8) = 5(b+8)
3a + 24 = 5b + 40
3a = 5b + 40 - 24
3a = 5b + 16
replace a with 2b, (from the 1st statement)
3(2b) = 5b + 16
6b - 5b = 16
b = 16 is B's age
:
I'll let you find A's age, check your solution in the 2nd statement