The sum of the ages of 3 people is 60. The age of the eldest is twice that of the youngest, and the age of the middle person is the average of the other two. What is the age of the eldest?
Q1. The sum of the ages of 3 people is 60. The age of the eldest is twice that of the youngest, and the age of the middle person is the average of the other two. What is the age of the eldest?
Answer: 24 years
Explanation: Let's denote the ages as y (youngest), e (eldest), and m (middle). e = 2y, m = (y + e) / 2 = (3y) / 2, and y + e + m = 60. Substituting e and m gives y + 2y + 3y / 2 = 60. Solving, y = 12, e = 24.