passwella.
Menu

JAMB Mathematics 1985 Question 3

Question 3

Number Bases

In the equation below, solve for x if all the numbers are in base 2.
11/x = 1000/(x + 101)

  1. A.101
  2. B.11
  3. C.110
  4. D.111
  5. E.10.
Show the answer and explanation

Answer: B (11)

Explanation

In base ten the equation is 3/x = 8/(x + 5), so 3x + 15 = 8x and x = 3, which is 11 in base 2.