wolfgirl2431
wolfgirl2431 wolfgirl2431
  • 11-10-2018
  • Mathematics
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the sum of the least and the greatest of 3 consecutive integers is 60. What are the values of the 3 integers?

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jimrgrant1 jimrgrant1
  • 11-10-2018

29, 30, 31

consecutive integers have a difference of 1 between them

let the 3 integers be n, n + 1, n + 2

then n + n + 2 = 60

2n  + 2 = 60 ( subtract 2 from both sides )

2n = 58 ( divide both sides by 2 )

n = 29 ← least integer

thus the 3 integers are 29, 30, 31


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