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The sum of three consecutive odd integers is 63. Find the integers.
The sum of three consecutive odd integers is 63. Find the integers.
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Let the first odd integer be $x$. The three consecutive odd integers are then $x, x + 2,$ and $x + 4$. We have the equation $x + (x + 2) + (x + 4) = 63$, or $3x + 6 = 63$. Solving this equation gives $x = 19$. The three consecutive odd integers are $\boxed{19, 21, 23}$.
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