WAEC 2024 Mathematics · Question 11
A number is added to both the numerator and the denominator of the fraction if the result is , find the number.
Options
- A.3
- B.4
- C.5
- D.6
Answer: D. 6
Explanation written with AI and checked against the answer key
Analyze the question: We add the same number, call it x, to both the top and bottom of 1/8. The new fraction equals 1/2. We need x. Concept: Set up an equation from the words, then cross-multiply to solve. Solution: (1 + x)/(8 + x) = 1/2 Cross-multiply: 2(1 + x) = 1(8 + x) 2 + 2x = 8 + x 2x − x = 8 − 2 x = 6 Check: (1 + 6)/(8 + 6) = 7/14 = 1/2 ✓ Answer: D (6) Tip: In "add the same number to numerator and denominator" questions, always form (a + x)/(b + x) and cross-multiply. You can also test the options quickly by substitution. Here, only 6 gives 7/14 = 1/2.AI can make mistakes. Report anything that looks wrong.
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