Question

Divide 150 into 3 parts such that the second number is five sixths the first and the third number is four fifths the second

Answer 1

let the first no. be X then second one will be 5x/6 and the third one will be {4/5×(5x/6)} which is equal to 2x/3.

So, we get the equation x +(5x/6)+(2x/3)=150

(6x+5x+4x)/6=150

implies X=60

Therefore second one will be 50 and third one will be 40

Answer 2

Let x = the first number

5x/6= the second number

(4/5)(5x/6) = the third number= 2x/3

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

Multiply both sides by 6 to get

6x+5x+4x = 900

x = 900/15

x = 60 (first number)

2nd number:

5*60/6 = 50

3rd number:

4*50/5 = 40

The numbers are 60, 50, and 40.