Question
Currently, the ages of Rahul and Ritesh are in a ratio of 7:3. If we look back three years, the ages of Ritesh and Ramesh had a ratio of 1:3. Knowing that Rahul is 6 years younger than Ramesh, can you determine the current average age of Rahul, Ritesh, and Ramesh?
Solution
Let the present ages of Rahul and Ritesh are 7x years and 3x years respectively. Age of Ritesh three years ago = 3x – 3 years Age of Ramesh three years ago = 3 × (3x – 3) = 9x – 9 years Present age of Ramesh = 9x – 9 + 3 = 9x – 6 years According to question: 9x – 6 – 7x = 6 2x = 12 x = 6 So, the present ages of Rahul, Ritesh and Ramesh are 42 years, 18 years and 48, years respectively. Present average age of Rahul, Ritesh and Ramesh = (42 + 18 + 48)/3 = 36 years
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