In what number base was the addition 1 + nn = 100, where n > 0, done?
A
n - 1
B
n + 1
C
n
D
n + 2
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Assuming the numbers 1 + nn =100 were added in base n + 1
n
n
1
1 0
0
n + 1 = n +1 and n + 1 in base n + 1 = 10, write 0 and carry 1, which will be added to the second n, resulting in another n + 1 in base n + 1 = 10.
So, putting the result together 1 + nn = 100 provided, the addition was carried out in base n + 1.
Source: Myschool Past Questions Archive (Record #50025)