QuestionAugust 24, 2025

The sum of three consecutive integers is 264. Find the integers. The integers are square (Use a comma to separate answers.)

The sum of three consecutive integers is 264. Find the integers. The integers are square (Use a comma to separate answers.)
The sum of three consecutive integers is 264. Find the integers. The integers are square (Use a comma to separate answers.)

Solution
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Answer

87, 88, 89 Explanation 1. Define the integers Let the three consecutive integers be x, x+1, and x+2. 2. Set up the equation The sum is x + (x+1) + (x+2) = 264. 3. Simplify the equation Combine like terms: 3x + 3 = 264. 4. Solve for x Subtract 3 from both sides: 3x = 261. Divide by 3: x = 87. 5. Find the integers The integers are 87, 88, and 89.

Explanation

1. Define the integers<br /> Let the three consecutive integers be $x$, $x+1$, and $x+2$.<br />2. Set up the equation<br /> The sum is $x + (x+1) + (x+2) = 264$.<br />3. Simplify the equation<br /> Combine like terms: $3x + 3 = 264$.<br />4. Solve for $x$<br /> Subtract 3 from both sides: $3x = 261$. Divide by 3: $x = 87$.<br />5. Find the integers<br /> The integers are $87$, $88$, and $89$.
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