Question

Divide rs. 1500 among a, b and c so that a receives 1/3 as much as b and c together and b receives 2/3 as a and c together. A's share is?

Answer 1

$\red{HEY\:BUDDY!!}$

HERE'S THE ANSWER...

____________________________

▶️ Making eqn from conditions

♠️ Divide ₹ 1500 among a, b and c

⏺️ $\texttt{ a + b + c \:=\:1500}$ __( 1 )

♠️a receives 1/3 as much as b and c together

⏺️ $\texttt{ a \:=\: 1/3( b + c )}$ __( 2 )

♠️b receives 2/3 as a and c together

⏺️$\texttt{ b \:=\: 2/3( a + c )}$ __( 3 )

▶️ Now by Eqn ( 1 )

=> $\texttt{ a + b + c \:=\:1500}$

=> $\texttt{ b + c \:=\:1500 - a}$

⏺️ Putting value of ( b + c ) in eqn ( 2 )

=> $\texttt{ a \:=\: 1/3( b + c )}$

=> $\texttt{ a \:=\: 1/3( 1500 - a )}$

=> $\texttt{ 3a \:=\: ( 1500 - a )}$

=> $\texttt{ 3a + a \:=\: 1500 }$

=> $\texttt{ 4a \:=\: 1500 }$

=> $\texttt{ a \:=\: 1500/4 }$

=> $\boxed{ a \:=\: Rs.\: 375}$

♠️ So a will get ₹ 375

HOPE HELPED..

$\red{JAI \:HIND..}$

PEACE✌️☺️

Answer 2

ATQ

# a + b + c = Rs. 1500 ....1

# a = 1/3( b + c ) .... 2


now from 2

b + c = 3a

putting value in 1

a + ( b + c ) = 1500
a + 3a = 1500
4a = 1500
a =Rs. 375

a's share will be 375