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WAEC Mathematics 2013 Question 3

Question 3

Number Bases

In what number base is the addition 465 + 24 + 225 = 1050?

  1. A.Ten.
  2. B.Nine.
  3. C.Eight.
  4. D.Seven.
Show the answer and explanation

Answer: D (Seven.)

Explanation

In base seven: 5 + 4 + 5 = 14 = 2 sevens + 0; 6 + 2 + 2 + 2 = 12 = 1 seven + 5; 4 + 2 + 1 = 7 = 10. This gives 1050.