3

Set 2: Linear Equations (Intermediate)

Explanation

Answer: C

Three consecutive even integers sum to 48. What is the product of the smallest and largest?

A.

224

B.

280

C.

252

✓ Correct
D.

240

Detailed Explanation

Choice C is correct. Choice C is the correct answer. 1. Equation: x+(x+2)+(x+4)=48x + (x+2) + (x+4) = 48 2. Simplify: 3x+6=483x=42x=143x + 6 = 48 \rightarrow 3 x = 42 \rightarrow x = 14. 3. Integers: 14, 16, 18. 4. Product: 14×18=25214\times 18 = 252. Choice C is incorrect because it results from an error in the solution process. Choice A is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 252

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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