46.8k views
1 vote
Prakash sameer ramesh and Tarun have a total of rs 240 with them. Praksh has half the total amount of what the others have. Sameer has one third of the total amount of what the others have. Ramesh had one fourth of the total amount of what the others have. Find the amount with tarun

User Thorfin
by
7.9k points

1 Answer

4 votes
Let the amounts possessed by each represented by initials P,S,R,T.
then
2P=S+R+T............(1)
3S=P+R+T............(2)
4R=P+S+T............(3)
and
P+S+R+T=Rs. 240 ........(4)

Solve by elimination
(1)+(4) => 3P=240, P=80
(2)+(4) => 4S=240, P=60
(3)+(4) => 5R=240, P=48
Substitute above into (4) => t=52
User SteveCl
by
8.7k points