Here we will use algebra to find three consecutive integers whose sum is 960. 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 960. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 960
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 = 960
3X + 3 = 960
3X + 3 - 3 = 960 - 3
3X = 957
3X/3 = 957/3
X = 319
Which means that the first number is 319, the second number is 319 + 1 and the third number is 319 + 2. Therefore, three consecutive integers that add up to 960 are 319, 320, and 321.
319 + 320 + 321 = 960
We know our answer is correct because 319 + 320 + 321 equals 960 as displayed above.
Three Consecutive Integers
Enter another number below to find what three consecutive integers add up to its sum.
What three consecutive integers have a sum of 961?
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