Question

The sum of two numbers is zero. One number is nine less than twice the other. Find the numbers.

Short answer

The two numbers are$3and-3.$

Step-by-step solution

Step 1. Given information

The sum of two numbers is zero. One number is nine less than twice the other.

Step 2. Forming equation

Let one number be $x,$then other will be $2x-9.$

Sum$=0$

$x+2x-9=0$

Step 3. Solving equation

$$\begin{gathered} 3x-9=0 \\ 3x=9 \\ x=3 \\ Othernumber=2x-9=2\times 3-9=-3 \end{gathered}$$