The ratio of Laxmi's age of the age of her mother is 3 : 11. the difference of their ages is 24 years. The ratio of their ages after 3 yeras will be?

1 : 3
2 : 3
3 :5
None of these

Correct Answer: 1 : 3

Explanation:

Let the ages of Laxmi and her mother be 11x and 3x respectively.
From question, 11x - 3x = 24
⇒ x = 3
∴ Ratio of their ages after 3 years = ( 3x + 3) : (11x + 3 )
= 12: 36 = 1 : 3

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