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The sum of three consecutive integers is 78. what are the three Integers​

2 Answers

2 votes

Answer:

25 , 26 and 27

Explanation:

User Themis
by
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3 votes

Answer:

25, 26, and 27 are the three consecutive integers.

Explanation:

Let the numbers be represented as x, x + 1 and x + 2.

We can write the equation:


x+(x+1)+ (x+2)=78

Opening the brackets and simplifying:


x+x+1+x+2=78


3x+3=78

Subtract 3 from both sides.


3x=75

Divide both sides by 3.


x=25

Since the three consecutive integers are x, x + 1 and x + 2, replace x with 25.

∴ 25, 26 and 27 are the three consecutive integers.

User Smartmouse
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