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

Question

Mckenna Hull

Mathematics

25 January, 19:45

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

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Aniya Mcintyre · Answer 1

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