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

Explanation

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.

 

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