Question

The sum of two consecutive integers is 41. what are the two intergers

Answer 1

20 and 21

Explanation:

X is the first integer, and let Y be the second.
X + Y must be 41, but Y must also be X + 1.
2x has to equal 40 if that's the case

Therefore X must be 20.
And Y must be 20 + 1 which is 21.
20 + 21 = 41.

Answer 2

Let's call our first integer x and our second integer, x + 1.

Sine there sum is 41, that means that x + (x + 1) = 41.

Simplifying on the left, we have 2x + 1 = 41.

Now subtract 1 from both sides to get 2x = 40.

Now divide both sides by 2 and x = 20.

So our first integer is 20 and our second

integer is x + 1 or 20 + 1 which is 21.

The integers are 20 and 21.