What 3 consecutive integers equal 84

First represent your 3 consecutive integers as follows.

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

Since their sum is 84, our equation reads x + (x + 1) + (x + 2) = 84.

Simplifying on the left side we get 3x + 3 = 84.

Now subtract 3 from both sides to get 3x = 81.

Dividing both sides by 3, we find that x = 27.

Finally, make sure you list all your answers.

If x is 27 then x + 1 is 28 and x + 2 is 29.

27 + 28 + 29 = 84

Step-by-step explanation:

Let the three consecutive integers be x +1, x+2 and x+3

Thus,

Remove the brackets

Group the like terms

To make 3x subject of formula, subtract 6 from both sides of the equation thus,

Divide through by 3

Since x = 26

Therefore, the three consecutive integers are 27, 28 and 29

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step-by-step explanation: lol