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Ksenya-84 [330]
4 years ago
8

The sum of three consecutive even integers is –78. What are the integers?

Mathematics
1 answer:
Ivanshal [37]4 years ago
3 0

Step-by-step explanation:

(Hope this explanation can ease your mind a little if possible! Alright let's go! :D)

Let n be the middle of the 3 consecutive even integers. Therefore, (n - 2) and (n + 2) are the smallest and largest of the 3 numbers respectively.

We know that (n - 2) + n + (n + 2) = 78,

so 3n = 78, and n = 78/3 = 26.

Since the middle number is 26, the smallest number is 26 - 2 = 24 and the largest number is 26 + 2 = 28.

Feel free to comment below if you have any queries!

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