SOLUTION: The present age of A and his father is in the ratio of 2:5 respectively.4 years hence the ratio of their ages will become 5:11 respectively.what was father's age 5 years ago?

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Question 699133: The present age of A and his father is in the ratio of 2:5 respectively.4 years hence the ratio of their ages will become 5:11 respectively.what was father's age 5 years ago?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The present age of A and his father is in the ratio of 2:5 respectively.
a%2Ff = 2%2F5
Cross multiply
5a = 2f
a = 2%2F5f
a = .4f
:
4 years hence the ratio of their ages will become 5:11 respectively.
%28%28a%2B4%29%29%2F%28%28f%2B4%29%29 = 5%2F11
cross multiply
11(a+4) = 5(f+4)
11a + 44 = 5f + 20
11a = 5f + 20 - 44
11a = 5f - 24
replace a with .4f
11(.4f) = 5f - 24
4.4f = 5f - 24
24 = 5f - 4.4
24 = .6f
f = 24/.6
f = 40 yrs is Dad's present age
then
a = .4(40)
a = 16 is A's present age
:
what was father's age 5 years ago? You can figure that out, I know