Question

The sum of four consecutive integers is 74.

What is the first integer?
16
17
18
19

Answer 1

Do you know what consecutive integers mean?

Answer 2

17

Answer 3

Not consecutive.

Answer 4

"Consecutive integers are integers that follow each other in order. They have a difference of 1 between every two numbers. In a set of consecutive integers, the mean and the median are equal. If n is an integer, then n, n+1, and n+2 would be consecutive integers. "
~ https://simple.wikipedia.org/wiki/Consecutive_integer

Answer 5

okay.

Answer 6

So, we can make an equation since we know they are consecutive integers... Also by seeing the example in the last paragraph I copied and pasted above.

So we have:

\(\sf\Large x + (x+1) + (x+2) + (x+3) = 74\)

Answer 7

Simplify that and solve for x.

Answer 8

okay

Answer 9

x+x+1+x+2+x+3=74
(x+x+x+x)+(1+2+3)=74
4 x's
add 1+2+3=6
4x+6=74
subract 6 from both sides
4x=68
Divide both sides by 4
4x/4=68/4
And my answer was
x=17

Answer 10

Correct, good job! :D

Answer 11

:)