If x varies directly as y and inversely as z, and x = 3 when y = 2 and z = 4, find x when y = 3 and

JAMB Mathematics 2023 47 views

If x varies directly as y and inversely as z, and x = 3 when y = 2 and z = 4, find x when y = 3 and z = 6

  1. 3
  2. 3 ✓
  3. 4.5
  4. 6

Explanation

Step 1: Write variation equation
x varies directly as y and inversely as z
x = k × (y/z), where k is constant

Step 2: Find constant k
Using x = 3, y = 2, z = 4:
3 = k × (2/4)
3 = k/2
k = 6

Step 3: Write complete equation
x = 6y/z

Step 4: Find x when y = 3, z = 6
x = 6(3)/6
x = 18/6
x = 3

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