# Divide 150 into three parts such that second number is fifth-sixth of the first and third is four-fifth of the second

2
by shivarock

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by shivarock

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given:pat 1x

second part 5/6 of x is 5x/6

third part 4/50f second part

4/5 x 5x/6 =2x/3

sum of three parts is 150

x+5x/6+2x/3=150

6x+5x+4x =6 x 150

15x = 6 x 150

x =6 x 150 /15

= 60

three parts of 150 are respectively

The lengths are 60, 50, and 40