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Question

Three consecutive odd numbers have a sum of 75.

What is the greatest number?

Answer Choices

A. 23


B. 25


C. 27


D. 29

Answer 1

x+(x+2)+(x+4)=75

3x+6=75

3x=69

x=23

x+2=25

x+4=27

75/3=25, 25-2=23, and 25+2=27

Answer 2

Let x = the smallest number

Let x + 2 = the second consecutive number

Let x + 4 = the largest number

x + x + 2 + x + 4 = 75

3x + 6 = 75

3x = 69

x = 23

x + 4 = 23 + 4 = 27