WAEC Mathematics 2017 Objective — Question 33
Question 33 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.
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In what number base was the addition 1+nn=100, where n>0, done?
- A. A. n-1
- B. B. n
- C. C. n+1Correct
- D. D. n+2
Explanation
Let the base be x. 1+nx+n=x^2 → nx+n=x^2-1 → n(x+1)=(x-1)(x+1) → n=x-1, i.e. x=n+1. The base is n+1.
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