The sum of two numbers is 14 and the ratio of the two numbers is −3 . What is the product of the two numbers?
Correct answer: D. -147
- A. -105
- B. -119
- C. -133
- D. -147
Explanation
Let's solve the problem step by step:First, let the two numbers be x and y. We are given:x + y = 14andx/y = -3From the ratio x/y = -3, we can express x as x = -3y.Substitute x = -3y into the sum equation:-3y + y = 14This simplifies to:-2y = 14Solving for y gives:y = -7Now, substitute y = -7 back into x = -3y:x = -3(-7) = 21The two numbers are 21 and -7. Their product is:21 × (-7) = -147Therefore, the answer is D) -147.Options A, B, and C are incorrect as they result from errors in the substitution or arithmetic process.
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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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