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  • 03-02-2016
  • Mathematics
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The sum of 3 consecutive integers is 261. What is the middle number?

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taskmasters
taskmasters taskmasters
  • 03-02-2016
Let us assume the smallest integer = x
Then the middle integer = x + 1
The biggest integer among the three consecutive integers = x + 2
It is also given in the question that the sum of the three consecutive integers is 261.
Then
x + x +1 + x + 2 = 261
3x + 3 = 261
3x = 261 - 3
3x = 258
x = 258/3
   = 86
Then
The middle integer = x + 1
                               = 86 + 1
                               = 87
So from the above deduction we can easily see that the middle integer is 87.
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