# Question #1d17f

Dec 13, 2017

One of the numbers is $1$, and the other number is $22$.

#### Explanation:

Let first number $= x$
Let second number $= y$

$x + y = 23 \text{ } \mathmr{and}$
$x + 21 = y$

Substitute the second equation into the first equation for $y .$

$x + \left(x + 21\right) = 23$
$2 x + 21 = 23$
$2 x = 2$
$x = 1$

Plug in this number into one of the two equations to find the other number.

$\left(1\right) + 21 = y$
$y = 22$