Question

A certain sum of money is divided among A, B and
C such that A gets half of what B and C together
get. B gets one-third of what A and C together get. If
A got 500 more than B, then how much money was
divided?
​

Answer 1

Answer:

6000

Step-by-step explanation:

A=B+C/2....(1)

B=A+C/3......(2)

A=B+500......(3)

WE HAVE TO FIND :-A+B+C=?

FROM(2)

3B=A+C

3B=B+500+C

2B-500=C.....(4)FROM1

2A=B+C

2B+1000=B+C

B+1000=C...(5)

FROM4&5

B+1000=2B-500

B=1500

FROM (5)

C=2500

FROM(3)

A=2000

THEREFORE

A+B+C=6000