The ratio of ages of the two students is 3:2. One is older than the other by 5 years. What is the age of the elder student?
A. 2 Years
B. 5 Years
C. 10Years
D. 15 Years
Correct Answer: D. 15 Years
Explanation:
Age of the Elder Student
Let’s assume the ages of the two students are 3x and 2x, where x is a common factor.
According to the given information, one student is older than the other by 5 years. So, we can set up the following equation:
3x – 2x = 5
Simplifying the equation:
x = 5
Now, we can find the age of the elder student:
Age of the elder student = 3x = 3 * 5 = 15 years
Therefore, the age of the elder student is 15 years. The correct answer is D) 15 Years.