Question : If the average age of Ram, Raman, and Rohan is 23 years and the average age of Raman and Rohan is 27 years, then find Ram's age 5 years ago.
Option 1: 10 years
Option 2: 25 years
Option 3: 15 years
Option 4: 20 years
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Correct Answer: 10 years
Solution :
Given, that the average age of Ram, Raman, and Rohan is 23 years.
And, the average age of Raman and Rohan is 27 years.
The total sum of the ages of Ram, Raman, and Rohan = 23 × 3 = 69 years
The total sum of the ages of Raman and Rohan = 27 × 2 = 54 years
So, age of Ram = 69 – 54 = 15 years
Age of Ram, 5 years ago = 10 years
Hence, the correct answer is 10 years.
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