5625 is divided among A,B and C so that A may receive 1/2 as much as B and C together receive and B . receive 1/4 .what A and C together receive by how much share of A is more than that of B
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here A=(B+C)/2..... (1)
and B=(A+C)/4.... (2)
We have to find A's share -B's share
from (1) ...2A-B=C
from (2)....4B-A=C
so 2A-B=4B-A
Or 3A=5B
or A=5/3*B
and 2A-B=C so 10/3*B-B=C or 7B/3=C
now A+B+C=5625
or 5B/3+B+7B/3=5625
or B=1125
A=5*1125/3=1875
so A-B=1875-1125=750 rs
share of A is 750 rs more than B's share
and B=(A+C)/4.... (2)
We have to find A's share -B's share
from (1) ...2A-B=C
from (2)....4B-A=C
so 2A-B=4B-A
Or 3A=5B
or A=5/3*B
and 2A-B=C so 10/3*B-B=C or 7B/3=C
now A+B+C=5625
or 5B/3+B+7B/3=5625
or B=1125
A=5*1125/3=1875
so A-B=1875-1125=750 rs
share of A is 750 rs more than B's share
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