Question

One number is six more than another. The sum of the numbers is twenty-four. Find the numbers.

Short answer

The numbers are : 9,15

Step-by-step solution

Step 1. Given information

One number is six more than another.

The sum of the numbers is twenty-four.

Step 2. Solving the equation

Let the number be x & y

Given :

$$\begin{gathered} x+y=24 \\ \Rightarrow y=24-x \end{gathered}$$

And :

$$\begin{gathered} y=x+6 \\ 24-x=x+6 \\ 2x=18 \\ x=9 \\ \Rightarrow y=15 \end{gathered}$$