Question

Divide 150 into 3 parts such that the second number is 5/6 the first and the third number is 4/5the second

Answer 1

Answer:

Step-by-step explanation:

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.