The sum of three consecutive odd integers is 39. List the integers, from least to greatest

1 answer

Let the three consecutive odd integers be represented as \( x \), \( x + 2 \), and \( x + 4 \). The equation for the sum of these integers is:

\[ x + (x + 2) + (x + 4) = 39 \]

Simplifying the left side, we have:

\[ 3x + 6 = 39 \]

Subtracting 6 from both sides, we get:

\[ 3x = 33 \]

Dividing by 3 gives:

\[ x = 11 \]

Thus, the three consecutive odd integers are:

  • \( x = 11 \)
  • \( x + 2 = 13 \)
  • \( x + 4 = 15 \)

Therefore, the integers, from least to greatest, are:

11, 13, 15.

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