Question

One number is 5 more than another number, and their sum is 13. Find the number

Answer 1

Let the unknown numbers be x and y.

To solve this question, follow the steps below.

Step 01: Write a relation between the two numbers.

Given that "One number is 5 more than another number":

`x=y+5`

Step 02: Write an equation for the sum of the numbers.

Given that the sum of the numbers is 13:

`x+y=13`

Step 03: Substitute x from the first equation in the equation from step 02.

`\begin{gathered} x+y=13 \\ y+5+y=13 \end{gathered}`

And solve the equation for y:

`2y+5=13`

Subtracting 5 from both sides and then dividing the sides by 2:

`\begin{gathered} 2y+5-5=13-5 \\ 2y=8 \\ (2y)/(2)=(8)/(2) \\ y=4 \end{gathered}`

Step 04: FInd x using the equation from step 01.

`\begin{gathered} x=y+5 \\ x=4+5 \\ y=9 \end{gathered}`

Answer: The numbers are 4 and 9.