SOLUTION: The sum of the ages of Paul and Peter is 24. Five years ago their respective ages were in the ratio of 3:4. How old will they be in three years time?

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Question 1169753: The sum of the ages of Paul and Peter is 24. Five years ago their respective ages were in the ratio of 3:4. How old will they be in three years time?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39614) About Me  (Show Source):
Answer by ikleyn(52756) About Me  (Show Source):
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According to the condition, the sum of their ages five years ago was  24 - 5 - 5 = 14 years.


At the same time, the ratio of their ages was 3:4.


The only solution is  

    %283%2A14%29%2F%283%2B4%29 = 3*2 = 6 years for Paul 

and

    %284%2A14%29%2F%283%2B4%29 = 4*2 = 8 years for Peter

five years ago.


So, now they are  6+5 = 11  and  8+5 = 13 years old.    ANSWER

Solved.