Multiple choice

The ratio of Lila's age and her daughter's age is 7 : 4. The difference of their ages is 18 years. Find the ratio of their ages after 6 years.

  1. 5 : 3

  2. 4 : 3

  3. 3 : 2

  4. 6 : 5

  5. 5 : 4
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C Correct answer
Explanation

Let the present age of Lila be 7x years and that of her daughter be 4x years. Now, according to question, 7x - 4x = 18 x = 3 So, present age of Lila = 7 x 3 = 21 years and that of her daughter = 4 x 3 = 12 years Now, age of Lila after 6 years = 21 + 6 = 27 years and that of her daughter = 12 + 6 = 18 years So, ratio their ages after 6 years = 27 : 18 = 3 : 2

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