[amp_mcq option1=”45″ option2=”52″ option3=”54″ option4=”55″ correct=”option1″]
The answer is $\boxed{\text{54}}$.
The sequence is a simple alternating addition and subtraction of 9. Starting with 13, we add 9 to get 22, then subtract 9 to get 13. We continue this pattern, adding 9 and then subtracting 9, to get the following sequence:
13, 32, 24, 43, 35, 54, 46, 65, 57, 76
Therefore, the missing number is $\boxed{54}$.