# One number is 3 more than another and their sum is 41. What systems of equations represents the word problem?

Sep 24, 2015

$n = m + 3$
$n + m = 41$

#### Explanation:

Define your two numbers as $n$ and $m$ (with $n \ge m$, if you like)

"One number is 3 more than another":
$\rightarrow \textcolor{w h i t e}{\text{XX}} n = m + 3$

"their sum is 41":
$\rightarrow \textcolor{w h i t e}{\text{XX}} n + m = 41$