Question
The current average age of Sohan, Mohan, and Rohan is 30
years. 10 years from now, the ratio of the ages of Sohan and Mohan will be 17:16 respectively, and 6 years ago, the ratio of their ages was 11:10 respectively. What is the present age of Rohan?Solution
ATQ,
Total current age of Sohan, Mohan, and Rohan = 3 × 30 = 90 years Let age of Sohan and Mohan after 10 years be 17x and 16x respectively. According to the question, (17x – 10 – 6)/(16x – 10 – 6) = 11/10 (17x – 16)/(16x – 16) = 11/10 (10x – 10)/(16x – 16) = 1/10 10x – 10 = 16x – 16 6x = 6 x = 1 Sum of present age of Sohan and Mohan = 33x – 20 = 33 × 1 – 20 = 13 years Present age of Rohan = 90 – 13 = 77 years
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