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valentina_108 [34]
3 years ago
7

What 3 consecutive integers equal 84

Mathematics
2 answers:
Murrr4er [49]3 years ago
5 0

First represent your 3 consecutive integers as follows.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒ <em>third integer</em>

<em />

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 <em>x = 27</em>.

Finally, make sure you list all your answers.

If <em>x </em>is 27 then <em>x </em>+ 1 is 28 and <em>x </em>+ 2 is 29.

TiliK225 [7]3 years ago
3 0

Answer:

27 + 28 + 29 = 84

Step-by-step explanation:

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

Thus,

(x + 1) + (x + 2) + (x + 3) = 84

Remove the brackets

x + 1 + x + 2 + x + 3 = 84

Group the like terms

x + x + x + 1 + 2 + 3 = 84

3x + 6 = 84

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

3x + 6 - 6 = 84 - 6

3x = 78

Divide through by 3

\frac{3x}{3}  =  \frac{78}{3}

x = 26

Since x = 26

x + 1 = 26 + 1 = 27

x + 2 = 26 + 2 = 28

x + 3 = 26 + 3 = 29

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

Check

27 + 28 + 29 = 84

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