Question

1. the sum of two consecutive integers is 41. what are the two integers? show all work for full credit.

Explanation:

Step1: Define the consecutive integers

Let the first integer be $x$, the second consecutive integer is $x+1$.

Step2: Set up the sum equation

$x + (x+1) = 41$

Step3: Simplify and solve for $x$

$2x + 1 = 41$
$2x = 41 - 1$
$2x = 40$
$x = \frac{40}{2} = 20$

Step4: Find the second integer

$x+1 = 20 + 1 = 21$

Answer:

The two consecutive integers are 20 and 21.