aquilinomic1101 aquilinomic1101
  • 14-05-2022
  • Mathematics
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Find three consecutive integers such that their sum is 40 more that tiwce the middle integer.

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sqdancefan
sqdancefan sqdancefan
  • 14-05-2022

Answer:

  39, 40, 41

Step-by-step explanation:

Let x represent the middle integer. The sum of the three integers will be ...

  (x -1) +x +(x +1) = 3x

This is 40 more than 2 times the middle integer, so we have ...

  3x = 40 +2x

  x = 40 . . . . . . . subtract 2x

The three integers are 39, 40, 41.

_____

Additional comment

It often works well to solve consecutive integer problems by letting a variable represent the middle value, or the average of the integers.

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