Twice a number n increased by 11 is the same as six times the number decreased by 9. What is the value of n?
Correct answer: C. 5
- A. 3
- B. 12
- C. 5
- D. 18
Explanation
To solve this problem, we first translate the given information into an algebraic equation: 2n + 11 = 6n - 9. By solving for n, we find that n = 5. Option A and Option B do not yield the correct result when substituted into the equation. Option D also fails the test. Therefore, Option C is the correct answer.
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About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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