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8. The sum of four consecutive integers is -22. What are the four integers?

User Tamo
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2 Answers

2 votes

Answer:

-4, -5, -6, -7.

Explanation:

Since the sum is -22, the 4 integers are all negative. I first began with smaller integers. If you choose -4, -5, -6 , -7. The sum is -22. To check, add -4 + -5 + -6 + -7. I am unsure of your level, but there is a way to solve it algebraically. I choose n to be the first number. The next number is also negative, and that will be n - 1. The next number will be n - 2 and then the fourth consecutive integer is n - 3. The sum will be n + (n - 1) + (n - 2) + (n - 3) = -22 4n - 6 = -22 4n = -16 n = -4 Therefore the first number is -4, then -5, -6 and finally -7.

I hope this helps :)

User Rouhollah Mazarei
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3.7k points
1 vote
-5.5 because 4 times -5.5 equals negative 22
User Hassan Shahbazi
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