What is the answer to this question someone help pls: Find three consecutive integers whose sum is -30

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

8 0

Answer:

-11, -10, -9

Step-by-step explanation:

The middle one is their average, -30/3 = -10. The three integers are -11, -10, -9.

_____

I like to work "consecutive integer" problems using the average value of the integers involved. The average of <u>two</u> consecutive integers is 1/2 more than the small one, and 1/2 less than the large one, for example. Here, there are <u>three</u> consecutive integers, so their average is the middle one.

If you want to write that using an equation, you can let x represent the middle integer. Then the sum is ...

(x -1) +(x) + (x+1) = 3x = -30

x = -30/3 = -10 . . . . . the same average we computed above.

x -1 = -11 . . . . . the smaller of the other two integers

x +1 = -9 . . . . . the larger of the other two integers

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