Multiple choice

The ratio of Kavita's age to the age of her mother is 3 : 11. The difference between their ages is 24 years. The ratio of their ages after 3 years will be -

  1. $1 : 3$
  2. $2 : 3$
  3. $3 : 5$
  4. $2 : 5$
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A Correct answer
Explanation

Let ages be 3x and 11x. The difference 11x-3x = 8x = 24 years, so x = 3. Current ages are 9 and 33. After 3 years, they become 12 and 36, which simplifies to a ratio of 1:3.