Rahul is as much younger than Sagar as he is older than Purav. If the sum of…
2026
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
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Correct answer: B
Let Rahul's age be x, Sagar's age be y and Purav's age be z. We are given Sagar's age y = 48 and Purav + Sagar = 66.
From Purav + Sagar = 66, substitute Sagar = 48 to get Purav = 66 - 48 = 18.
The phrase "Rahul is as much younger than Sagar as he is older than Purav" translates to: Sagar − Rahul = Rahul − Purav.
Substitute known values: 48 - x = x - 18.
Solve: 48 - x = x - 18 ⇒ 48 + 18 = 2x ⇒ 66 = 2x ⇒ x = 33.
Difference between Rahul and Purav = 33 - 18 = 15 years.