Question

divide 150 into 3 parts such that the second part is 5/6th of the first and the third part is 4/5th of the second.

Answer 1

let the first part be x

therefore second part = 5x/6
and third part = 4/5*5x/6 = 4x/6

therefore x + 5x/6 + 4x/6 =150

(6x+5x+4x)/6 = 150
15x/6=150
x/6=10
x=60

therefore first part is 60
second part is 5/6*60 =50
third part is 4/5*50=40

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