WAEC 2012 Mathematics · Question 41
Solve for x in the equation;
Options
- A.5
- B.4
- C.3
- D.1
Answer: A. 5
Explanation written with AI and checked against the answer key
Analyze the question: We need to find x such that 1/x + 2/(3x) = 1/3. Concept: Combine the fractions on the left using a common denominator, then cross-multiply. Solution: Step 1: The common denominator of x and 3x is 3x. 1/x = 3/(3x) So the left side is: 3/(3x) + 2/(3x) = 5/(3x) Step 2: Set it equal to the right side: 5/(3x) = 1/3 Step 3: Cross-multiply: 5 × 3 = 1 × 3x 15 = 3x x = 5 Check: 1/5 + 2/15 = 3/15 + 2/15 = 5/15 = 1/3 ✓ Tip: When an equation has x in several denominators, multiply every term by the LCD. Here, multiplying by 3x gives 3 + 2 = x, so x = 5 immediately. Always check your answer by substituting it back.AI can make mistakes. Report anything that looks wrong.
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