WAEC - Mathematics (2017 - No. 23)
In what number base was the addition 1 + nn = 100, where n > 0, done?
n - 1
n + 1
n
n + 2
Wyjaśnienie
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.