SOLUTION: Guys over there pls help me solve this problem. Quest: Father shared a sum of money between Yadav and Mathieu in the ratio 9:5. If Yadav gave Rs 140 to Mathieu, then both bo

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Guys over there pls help me solve this problem. Quest: Father shared a sum of money between Yadav and Mathieu in the ratio 9:5. If Yadav gave Rs 140 to Mathieu, then both bo      Log On


   

Question 996689: Guys over there pls help me solve this problem.
Quest:
Father shared a sum of money between Yadav and Mathieu in the ratio 9:5.
If Yadav gave Rs 140 to Mathieu, then both boys would have the same amount of money.
What sum of money did father share?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x, the sum of money given to the children.
9+5=14.

Yadav was given %289%2F14%29%2Ax;
Mathieu was given %285%2F14%29x;

Yadav gives 140 Rs and keeps %289%2F14%29x-140 Rs.
Mathieu then has %285%2F14%29x%2B140 Rs.
These children have an equal quantity of Rs money now.
... Find x.

***Their money quantities now being equal,
%289%2F14%29x-140=%285%2F14%29x%2B140
%289%2F14-5%2F14%29x=140%2B140
%284%2F14%29x=280
%282%2F7%29x=280
x=280%287%2F2%29
x=140%2A7
highlight%28x=980%29