Final answer:
To find the three consecutive integers whose sum is 52, assign the first integer as 'x'. The three consecutive integers will be x, x + 1, and x + 2. Solve the equation 3x + 3 = 52 to find the value of x.
Step-by-step explanation:
To find the three consecutive integers whose sum is 52, we can assign the first integer as 'x'. The three consecutive integers will be x, x + 1, and x + 2. We can set up an equation based on the given sum:
x + (x + 1) + (x + 2) = 52
Simplifying the equation, we get:
3x + 3 = 52
Subtracting 3 from both sides:
3x = 49
Dividing both sides by 3:
x = 16.33
Since the numbers must be integers, we round down to the nearest whole number:
x = 16
Therefore, the three consecutive integers are 16, 17, and 18.
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