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Question

The sum of 3rd 20500 is being divided between two friends such that one third of the amount first friend gets is same as one seventh of the amount the second friend gets what is the share of both of the friends

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Solution

1/3 of first friends amount = 1/7 of second one's

for this lets first a certain their particular amount

let first got = rs X
second therefor got rs 20500 - X

put them in above equation
1/3(X) = 1/7(20500 - X)
we get
7X= 61500 - 3X
solving further
10x = 61500
x = 6150 so first one gets rs 6150

second one gets 20500 - 6150
that is rs 14350

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