Question

The sum of three consecutive integers is 45.find the integers

​

Answer 1

Answer:

Here we will use algebra to find three consecutive integers whose sum is 45. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 45. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 45

Step-by-step explanation:

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

X + X + 1 + X + 2 = 45

3X + 3 = 45

3X + 3 - 3 = 45 - 3

3X = 42

3X/3 = 42/3

X = 14

Which means that the first number is 14, the second number is 14 + 1 and the third number is 14 + 2. Therefore, three consecutive integers that add up to 45 are 14, 15, and 16.

14 + 15 + 16 = 45

pls mark me as brainliest