1. (10 points) The sum of two positive integers is less than 100, and one is twice the other. The maximum value of the sum of these two positive integers is ( )
A. 83
B. 99
C. 96
D. 98
【Analysis】Since one number is twice the other, this means that the sum of these two numbers is three times the other number. Therefore, we only need to determine the largest multiple of 3 within 100.

【Solution】
According to the characteristics of multiples of 3, it is not difficult to determine that 83 and 98 are not multiples of 3, while 99 and 96 are. Since $99>96$, the maximum value of these two numbers is 99.

Therefore, the answer is: $B$.