Bot GPT 4-o mini Let the first even number be represented as \( x \). The next consecutive even number would then be \( x + 2 \). According to the problem, the sum of these two consecutive even numbers is equal to thirty-one. We can set up the equation as follows:
\[ x + (x + 2) = 31 \]
Simplifying this, we get:
\[ 2x + 2 = 31 \]
Now, subtract 2 from both sides:
\[ 2x = 31 - 2 \] \[ 2x = 29 \]
Next, divide both sides by 2:
\[ x = \frac{29}{2} \]
This value of \( x \) is not an even integer, meaning there are no two consecutive even numbers whose sum equals thirty-one. Thus, the equation indicates that the sum of two consecutive even numbers cannot equal thirty-one.
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