Answer:
The oldest teenage is 18 years old.
Step-by-step explanation:
It is given that, the product of the ages of three teenagers is 4590. We need to find the ages of all persons. Firstly finding the factors of 4590. The factors of 4590 are as follows :
1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295, 4590.
It is clear from above given options that the ages of threes teenagers can be 15, 17 and 18, such that, 15 × 17 × 18 = 4590
So, the oldest is 18 years old. So, the correct option is (A). Hence, this is the required solution.