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Rahul is as much younger than Sagar as he is older than Purav. If the sum of the ages of Purav and Sagar is 66 years, and Sagar’s age is 48 years, then what is the difference between Rahul and Purav’s age ? ( in years)

A. 18 B. 15 C. 16 D. 20 Answer: Option B
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Solution(By Apex Team)

Let the age of Rahul, Sagar and Purav be x, y and z respectively According to the given information, Age of Sagar – Age of Rahul = Age of Rahul – Age of Purav ⇒ y-x = x-z ⇒ 2x = y+z……(i) Also y + z = 66 years From (i) x = 33 years Also as per equation (i) we have, Purav’s age + Sagar age = 66 years by going through option (A) Given, Purav = 18, and Rahul = 33 years, Sagar = 48 years Difference between Rahul’s and Purav’s age = 33 – 18 = 15 years