The sum of the three consecutive number odd number is 981. find the numbers
Answers
Answer:
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Step-by-step explanation:
three consecutive integers that add up to 981 are 326, 327, and 328. We know our answer is correct because 326 + 327 + 328 equals 981 as displayed above
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Answer:
326,327,328 = 981
Step-by-step explanation:
Here we will use algebra to find three consecutive integers whose sum is 981. 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 981. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 981
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 = 981
3X + 3 = 981
3X + 3 - 3 = 981 - 3
3X = 978
3X/3 = 978/3
X = 326
Which means that the first number is 326, the second number is 326 + 1 and the third number is 326 + 2. Therefore, three consecutive integers that add up to 981 are 326, 327, and 328.
326 + 327 + 328 = 981
We know our answer is correct because 326 + 327 + 328 equals 981 as displayed above.