Two positive integers that have a ratio of 1 : 2 are increased in a ratio of 1 : 1. Which of the following could be the resulting integers?

Answer Choices

Correct answer marked below

2 and 4

5 and 13

15 and 28

Correct

33 and 68

71 and 143

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Explanation

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Official Explanation

Official

The question is based on the following concept: When you add the same number to the numerator and denominator of a fraction, the fraction increases if it is less than 1 (e.g.

\frac{1}{2}

. If I add 3 to both numerator and denominator, it becomes

\frac{4}{5}

) and decreases if it is more than 1 (e.g.

\frac{7}{3}

. If I add 3 to both numerator and denominator, I get

\frac{10}{6} = \frac{5}{3}

).…

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What this question tests

What it tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Common trap

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.