Flag 8 grade maths> Three consecutive integers add up to 51. ...
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Three consecutive integers add up to 51. What are these integers?

  • A. 15, 15, 12
  • B. 16, 17, 18
  • C. 10, 17, 22
  • D. 16, 17, 42

Aniket Singh , 7 Months ago
Grade
anser 1 Answers
Askiitians Tutor Team

To find three consecutive integers that add up to 51, we can represent the integers as:

  • x (the first integer)
  • x + 1 (the second integer)
  • x + 2 (the third integer)

The equation for their sum is:

x + (x + 1) + (x + 2) = 51

Simplifying this gives:

3x + 3 = 51

Subtracting 3 from both sides results in:

3x = 48

Dividing by 3, we find:

x = 16

Thus, the three consecutive integers are:

  • 16
  • 17
  • 18

Among the options provided, the correct answer is:

B. 16, 17, 18
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