What is Tanya's age right now? I. Tanya and her brother Rahul are three and four years apart in age. II. In 5 years, the age difference between Tanya and Rahul will be 4 to 5. III. Rahul is five years Tanya's senior.
A. I and II only
B. II and III only
C. I and III only
D. Any two of the three
Answer:D
What is Tanya's age right now? I. Tanya and her brother Rahul are three and four years apart in age. II. In 5 years, the age difference between Tanya and Rahul will be 4 to 5. III. Rahul is five years Tanya's senior.
A. I and II only B. II and III only C. I and III only D. Any two of the three
Explanation: I. Make Tanya and Rahul's current ages 3x and 4x years, respectively. II. (Tanya's age) : (Rahul's age) = 4 : 5 after 5 years. (Rahul's age) + (Tanya's age) = (Rahul's age) + 5. We obtain 3x + 5/4x + 5 = 4/5 from I and II. This results in x. Tanya's age = 3x has been discovered. As a result, I and II provide the solution. We obtain 4x = 3x + 5 from I and III. This results in x. Tanya's age = 3x has been discovered. As a result, I and III provide the solution. From III: Assume Tanya is currently t years old. Rahul's current age is then (t + 5) years. As a result of II and III, we get: t/t + 5 = 4/5. This returns thus, whereas II and III return the answer.