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:

$\begin{gathered} x+x+4=22 \\ 2x=22-4 \\ 2x=18 \\ x=\frac{18}{2}=9 \end{gathered}$

Putting x=9 in (1):

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

Answer: the number are 9 and 13.