5
algebra

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

A

224

B

280

C

252

D

240

Correct Answer: C

Choice Bhoice C is the correct answer.

  1. Equation: x+(x+2)+(x+4)=48x + (x+2) + (x+4) = 48
  2. Simplify: 3x+6=48→3x=42→x=143x + 6 = 48 \rightarrow 3x = 42 \rightarrow x = 14.
  3. Integers: 14, 16, 18.
  4. Product: 14×18=25214 \times 18 = 252.

Choice Bhoice C is incorrect because calculation error.

Choice Bhoice A is incorrect because calculation error.

Choice Bhoice D is incorrect because calculation error.

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Linear Functions Set 34