To translate the sentence "The sum of a number and twenty-four is sixty-seven" into an equation, we can define the unknown number as \( n \). The equation can be written as:
\[ n + 24 = 67 \]
To find the solution for \( n \), we will isolate \( n \) by subtracting 24 from both sides of the equation:
\[ n + 24 - 24 = 67 - 24 \]
This simplifies to:
\[ n = 43 \]
So, the equation and solution are:
Equation: \( n + 24 = 67 \)
Solution: \( n = 43 \)