Question

Three consecutive integers have a sum of 72. Find the integers

Answer 1

the three answers are going to be 22 24 26

Answer 2

You can set up an equation like this:


`(x+1)+(x+2)+(x+3)=72`

To solve, combine like terms together to get:


`3x+3=72`

Then, subtract 3 from both sides.


`3x=69`

Divide both sides by 3.


`x=23`

23 is the first integer in the sequence. Come back to the first equation again, and plug in the numbers. 23+1 is 24, and 23+2 is 25.

In conclusion, your three integers should be 23, 24, and 25. To check your work, you can add them together to find that it equals 72.