Question

One number is 4 more than another number and their sum is 22 to find the numbers

Answer 1

First. One number is 4 more than another number:

The equation will be:

`x+4=y\text{ \lparen1\rparen}`

Second. Their sim is 22:

`x+y=22\text{ \lparen2\rparen}`

We have two equations to solve with any method. Using substitution method, we get:

Repacing (1) in (2):

`x+(x+4)=22`

Solving for x:

`\begin{gathered} x+x+4=22 \\ 2x=22-4 \\ 2x=18 \\ x=(18)/(2)=9 \end{gathered}`

Putting x=9 in (1):

`\begin{gathered} y=x+4 \\ y=9+4 \\ y=13 \end{gathered}`

Answer: the number are 9 and 13.