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AlekseyPX
3 years ago
13

The sum of 3 consecutive integers is 72. What are the integers?

Mathematics
2 answers:
DiKsa [7]3 years ago
8 0

Our three consecutive integers can be represented as

X → <em>first integer</em>

X + 1 → <em>second integer</em>

X + 2 → <em>third integer</em>

If the sum of our three consecutive integers is 72, our equation will read...

X + X + 1 + X + 2 = 72

Now, we can simplify on the left. Once we simplify, our equation will now read

3x + 3 = 72

      -3     -3   ← subtract 3 from both sides

     3x = 69  ← divide both sides by 3

      X = 23

X → <em>first integer </em><em>23</em>

X + 1 → <em>second integer </em><em>24</em>

X + 2 → <em>third integer </em><em>25</em>

<em>Therefore, the 3 consecutive integers are 23, 24, and 25.</em>

Rama09 [41]3 years ago
3 0

divide 72 by 3

72/3 = 24

 that is the middle number

 so use 1 lower and 1 higher

23 +24 +25 = 72

 numbers are 23, 24 & 25


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