Multiple choice

If the ratio of the ages of two boys Ratan and Rakhal in 2022 is 2 : 3, then which of the following could have been the ratio of their ages in 2015?

  1. 1 : 2

  2. 3 : 4

  3. 7 : 8

  4. 5 : 6
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A Correct answer
Explanation

Let ages in 2022 be 2x and 3x. In 2015 (7 years earlier), ages were 2x-7 and 3x-7. The ratio (2x-7)/(3x-7) must be one of the options. Testing 1:2: (2x-7)/(3x-7) = 1/2 implies 4x-14 = 3x-7, so x=7. Ages in 2022 were 14 and 21. In 2015, they were 7 and 14, which is 1:2.

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