2
algebra

The sum of three consecutive integers is 33. What is the middle integer?

A

10

B

12

C

11

D

33

Correct Answer: C

Choice Bhoice D is the correct answer.

  1. Define: x,x+1,x+2x, x+1, x+2. Middle is x+1x+1.
  2. Equation: x+(x+1)+(x+2)=33x + (x+1) + (x+2) = 33
  3. Simplify: 3x+3=333x + 3 = 33
  4. Subtract 3: 3x=303x = 30
  5. Divide by 3: x=10x = 10
  6. Middle: x+1=11x + 1 = 11
  7. Verify: 10+11+12=3310 + 11 + 12 = 33

Choice Bhoice C is incorrect because this is the smallest.

Choice Bhoice A is incorrect because this is the largest.

Choice Bhoice C is incorrect because calculation error.