Question

sum of three consecutive integers is 24.find the integers.

Answer 1

x+x+1+x+2=24
3x+3=24
3 (x+1)=24
x+1=8
x=7

Answer 2

Here we will use algebra to find three consecutive integers whose sum is 24.

We assign X to the first integer. Since they are consecutive, it means that the 2nd number will be X+1 and the third number will be X+2 and they should all add up to 24. Therefore, you can write the equation as follows:

X + X + 1 + X + 2 = 24

To solve for X, you first add the integers together and the X variables together. Then you subtract 3 from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 24
3X + X = 24

3X + 3 - 3 = 24 - 3
3X = 21

3X/3 = 21/3
X = 7

Which means that the first number is 7, the second number is 7+1 and third number is 7+2. Therefore, three consecutive integers that add up to 24 are:

7
8
9


Since, 7 + 8 + 9 = 24, it confirms that the answer above is correct.