SOLUTION: Isha is 5 years younger than her brother. After 4 years their ages will be in ratio 2:3. Find their present ages.

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Question 1003589: Isha is 5 years younger than her brother. After 4 years their ages will be in ratio 2:3. Find their present ages.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Isha is 5 years younger than her brother.
i = b - 5
After 4 years their ages will be in ratio 2:3.
%28%28i%2B4%29%29%2F%28%28b%2B4%29%29 = 2%2F3
replace i with (b-5)
%28%28b-5%29%2B4%29%2F%28%28b%2B4%29%29 = 2%2F3
%28%28b-1%29%29%2F%28%28b%2B4%29%29 = 2%2F3
cross multiply
3(b-1) = 2(b+4)
3b - 3 = 2b + 8
3b - 2b = 8 + 3
b = 11 is the brother's age
then
i = 11 - 5
i = 6 yrs is I's age

:
Add 4 to each age and check to see the ratio
10%2F15 = 2%2F3
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