There are three consecutive integers. five times the middle number decreased by twice the smallest number is equivalent to four times the largest.

- 3, - 2, - 1

Step-by-step explanation:

Let x, (x + 1) and (x + 2) are the required three consecutive integers.

Now, it is given that five times the middle number decreased by twice the smallest number is equal to four times the largest,

So, by the condition given we can write

5 (x + 1) - 2x = 4 (x + 2)

⇒ 3x + 5 = 4x + 8

⇒ x = -3

Therefore, the integers are - 3, - 2, - 1. (Answer)

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