The Highest Common Factor of two numbers is 12 and their Least Common Multiple is 180. The ratio of the numbers is 5 : 3. What is the sum of the two numbers?
Show answer & explanation
Correct answer: A
Explanation
Let the numbers be 5x and 3x.
Product of two numbers = HCF × LCM
5x × 3x = 12 × 180
15x² = 2160
x² = 144
x = 12
The numbers are:
5 × 12 = 60
3 × 12 = 36
Sum = 60 + 36 = 96