SOLUTION: The ratio of present ages of two brothers is 1 : 2 and 5 years back, the ratio was 1 : 3. What will be the ratio of their ages after 5 years?

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Question 1113402: The ratio of present ages of two brothers is 1 : 2 and 5 years back, the ratio was 1 : 3. What will be the ratio of their ages after 5 years?

Found 3 solutions by josgarithmetic, ikleyn, amalm06:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Their present ages may be x and 2x.

Five years ago, for 1:3,
%28x-5%29%2F%282x-5%29=1%2F3
-
3x-15=2x-5
highlight%28x=10%29-----the younger brother now.

Ratio of ages in 5 more years
%2810%2B5%29%2F%2820%2B5%29=15%2F25=highlight%283%2F5%29



*************WRONG BELOW*****************
Their PRESENT ages are 2 and 4.
--
In five more years, ratio:
cross%28%282%2B5%29%2F%284%2B5%29=7%2F9%29

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
%28x-5%29%2F%282x-5%29 = 1%2F3


3*(x-5) = 2x - 5


3x - 15 = 2x - 5


x = 10.


Answer.  Their present ages are  10 years and 20 years.

Be aware:   the solution by @josgarithmetic and his answer  (2 and 4 years) are obviously   W R O N G

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Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
x=2y

(x-5)=3(y-5)

x-5=3y-15

2y-5=3y-15

y=10, x=20 (Present ages)

After 5 years: 15/25=3/5 (Answer)