Multiple choice

The ratio of the present ages of man and wife is 5 : 4. Which of the following cannot be the ratio of the ages of man and wife 10 years hence?

  1. 7:6

  2. 6:5

  3. 13:10

  4. 17:14

  5. None of these
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C Correct answer
AI explanation

For a present ratio of 5 to 4, the ratio 10 years later must fall between 1.25 and 1.125, because subtracting the same number from both terms of a ratio decreases its value if it is greater than 1. The values of the given ratios are 1.166, 1.2, 1.3, and 1.214. The ratio 13 to 10 is 1.3, which is impossible because it is greater than the present ratio of 1.25.

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