Multiple choice

The ages of Ruchi and Suchi are in the ratio 6 : 1, respectively. The sum of their ages is 56 years. What is the ratio of their ages after 6 years?

  1. 27 : 7

  2. 26 : 9

  3. 25 : 3

  4. 29 : 7
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A Correct answer
Explanation

Ruchi:Suchi = 6:1. Total parts = 7. 56 / 7 = 8. Ruchi = 48, Suchi = 8. After 6 years, Ruchi = 54, Suchi = 14. Ratio = 54:14 = 27:7.

AI explanation

Using the method of combining a ratio with a sum, the ages of Ruchi and Suchi are 6x and 1x. Since the sum of their ages is 56 years, 7x equals 56, making x equal to 8. Their present ages are 48 and 8. After 6 years, their ages will be 54 and 14, which simplifies to a ratio of 27 to 7.

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