The sum of 7 consecutive numbers is 105. what are the numbers? show how to do it and steps!

We need to create an equation in order to solve this problem.

Let x = the smallest number

x+1 = next  number

x+2 the following number

x+3

x+4

x+5

x+6

So, we add those.

x+x+1+x+2+x+3+x+4+x+5+x+6=105

7x+21=105

7x = 84

x = 12

So the numbers are

12,13,14,15,16,17,18

Since they are consecutive, we can write that (x = the first number):

Let's simplify:

Solve for x:

That's the first number which means the numbers are the 7 numbers which follow: 12, 13, 14, 15, 16, 17, 18.

To check, sum of those is:

So, it all works out! Your answer is: 12, 13, 14, 15, 16, 17, 18.

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.