Question

one number is nine more than the other. their sum is 33.find the numbers. (enter your answers as a comma-seperated list)

Answer 1

"One number is nine more than the other"

That means that if one number "x" is nine more than another number, then, the other number must be (x-9).

"Their sum is 33"

Therefore

`x+(x-9)=33`

Solve that for x

`\begin{gathered} 2x-9=33 \\ \\ 2x=33+9 \\ \\ 2x=42 \\ \\ x=21 \end{gathered}`

Therefore, the value of x is 21. Then

`\begin{gathered} 21+(21-9)=33 \\ \\ 21+12=33 \end{gathered}`

The numbers are 21 and 12.