JAMB Mathematics 2003 Question 12

Question 12

Variation

x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3?

  1. A.3
  2. B.4
  3. C.6
  4. D.9
Show the answer and explanation

Answer: C (6)

Explanation

x = kuv/(u + v). From 3 = k(3)/4, k = 4. Then x = 4 × 9/6 = 6.