NECO 2005 Mathematics · Question 4

If 2x : ( x + 1) = 3 : 2, what is the value of x?

Options

A. $\frac{1}{2}$
B.1
C.1 $\frac{1}{2}$
D.3
E.3 $\frac{1}{2}$

Answer: D. 3

Explanation written with AI and checked against the answer key

Analyze the question: We have a ratio equation, 2x : (x + 1) = 3 : 2, and need to find x. Concept: A ratio a : b = c : d means a/b = c/d, so we can cross-multiply: a × d = b × c. Solution: 2x / (x + 1) = 3 / 2 Cross-multiply: 2 × 2x = 3 × (x + 1) 4x = 3x + 3 4x − 3x = 3 x = 3 Check: 2x = 6 and x + 1 = 4, so 6 : 4 = 3 : 2 ✓ Answer: x = 3, which is option D. Tip: In ratio questions, always cross-multiply first, then collect like terms. Quickly substitute your answer back into the original ratio to confirm it, which takes only a few seconds and saves marks in the exam.

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