Question 996689
x, the sum of money given to the children.

9+5=14.


Yadav was given  {{{(9/14)*x}}};
Mathieu was given  {{{(5/14)x}}};


Yadav gives 140 Rs and keeps  {{{(9/14)x-140}}}  Rs.
Mathieu then has  {{{(5/14)x+140}}} Rs.
These children have an equal quantity of Rs money now.
... Find x.


***Their money quantities now being equal,
{{{(9/14)x-140=(5/14)x+140}}}
{{{(9/14-5/14)x=140+140}}}
{{{(4/14)x=280}}}
{{{(2/7)x=280}}}
{{{x=280(7/2)}}}
{{{x=140*7}}}
{{{highlight(x=980)}}}