[2/3 Points] DETAILS TGEIALG6 2.5.051. The three numbers of the combination for a lock are consecutive integers, and their sum is 99. Find the combination. smallest value largest value SUBMIT ANSWER

Did you know that the ancient Romans used combination locks to protect their valuables? These intricate devices required users to align various parts in a specific order to unlock them, much like solving a puzzle! Now, let’s solve this riddle! Since the numbers are consecutive integers, let's call them \( x \), \( x+1 \), and \( x+2 \). The equation based on their sum would be \( x + (x + 1) + (x + 2) = 99 \). Simplifying that gives us \( 3x + 3 = 99 \), leading to \( 3x = 96 \), giving \( x = 32 \). So, the combination is 32, 33, and 34!