Question 1169753
.
<pre>

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  

    {{{(3*14)/(3+4)}}} = 3*2 = 6 years for Paul 

and

    {{{(4*14)/(3+4)}}} = 4*2 = 8 years for Peter

five years ago.


So, now they are  6+5 = 11  and  8+5 = 13 years old.    <U>ANSWER</U>
</pre>

Solved.