16. (6 points) A number plus 3 is a multiple of 7, and the difference between the number and 5 is a multiple of 8, what is the smallest such number?
16. (6 points) A number, when added to 3, is a multiple of 7, and when subtracted by 5, is a multiple of 8. The smallest such number is $\qquad$ 53 .

【Solution】Solution: $7 \times 8-3=53$.
Therefore, the answer is: 53 .