The sum of three consecutive even integers is 48.
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The sum of three consecutive even integers is 48. What is the value of the smallest integer?
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Answer: B. 14
Let the integers be x, x+2, x+4. 3x + 6 = 48 => 3x = 42 => x = 14.
Step-by-step Derivation:
Step 1: Sum = x + (x + 2) + (x + 4) = 3x + 6 = 48.
Step 2: 3x = 42 => x = 14.
Step 3: The smallest integer is 14.