Question 673669
Let x=total number of mangoes
If the ratio was 11:13, then the first heap has 11/(11+13)=11/24 and the other heap had 13/24 of the mangoes.
Soooo 
(11/24)*x=143
x=143*24/11=312----total number of mangoes
312-143=169----------number of mangoes in second heap
or(13/24)*312=169

Hope this helps---ptaylor