Question

The product of the ages of three teenagers is 4590. How old is the oldest?

A. 18
B. 19
C. 15
D. 17
E. None of these

Answer 1

The three teens age's are most likely 18, 17, and 15.  They are NOT 19.  The oldest would be 18.  I found this out by dividing 4590 by all of the answer choices.  Hope this helped!

Answer 2

The oldest teenage is 18 years old.

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.