Question

The sum of three numbers is 92. The third number is 2 times the first. The second number is 8 less than the first. What are the numbers?First number:Second number:Third number:

Answer 1

Let three numbers be x, y and z.

The sum of thre number is 92. So,

`x+y+z=92`

The second number is 8 less than the first. So,

`y=x-8`

The third number is 2 times the first. So

`z=2x`

Substitute the values on number in the sum of three number equation to obtain the value of x.

`\begin{gathered} x+(x-8)+2x=92 \\ 4x=100 \\ x=(100)/(4) \\ x=25 \end{gathered}`

Determine the second number y.

`\begin{gathered} y=x-8 \\ =25-8 \\ =17 \end{gathered}`

Determine the third number, z.

`\begin{gathered} z=2x \\ =2\cdot25 \\ =50 \end{gathered}`

So answer is,

First number: 25

Second number: 17

Third number: 50