Discussion Forum

Divide Rs.1050 among A,B and C such that A receives as much as B and C together and B receives as much as A and C together .The shares of A,B,C is 

Answer:

Explanation:

Let the shares of A,B and C be $x,y,z$ respectively Then,

$x= \frac{2}{5}y+z$---(1)

$y= \frac{3}{7}x+z$---(2)

$x+y+z = 1050$---(3)

From equation (1) and (3)

$\frac{2}{5}(y+z) = 1050-y-z$

$2y+2z = 5250-5y-5z$

$7(y+z) = 5250$

$y+z = 750$---(4)

From 3, $x = 1050-(y+z)$, using 4, $x = 1050-750$ $= 300$

From 2, $x+z$ $= \frac{7y}{y}+y=1050$

$=\frac{7y+3y}{3}=1050$

$10y=3150$, $y =315$

From 4

$z = 750-y = 750-315$ $= 435$

$x= 300$, $y =315$, $z= 435$