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Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar’s age at present?
  • a)
    16 years
  • b)
    18 years
  • c)
    20 years
  • d)
    Cannot be determined
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Fou...
Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.
Then, (6x + 6) + 4 = 11
(5x + 6) + 4 = 10
⇒ 10(6x + 10) = 11(5x + 10)
⇒ 5x = 10
⇒ x = 2
∴ Sagar’s present age = (5x + 6) = 16 years.
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Most Upvoted Answer
Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Fou...
Let's assume the current ages of Kunal and Sagar are 6x and 5x respectively.

According to the given information, 6 years ago, the ratio of their ages was 6:5. So, (6x - 6)/(5x - 6) = 6/5.
Cross-multiplying, we get 30x - 36 = 36x - 36.
Simplifying further, we get 6x = 36, which gives x = 6.

Therefore, Sagar's current age is 5x = 5 * 6 = 30.
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Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar’s age at present?a)16 yearsb)18 yearsc)20 yearsd)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?
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