The LCM and HCF of two number are 240 and 16, respectively,If

Home » Aptitude » LCM and HCF » Question

The LCM and HCF of two number are 240 and 16, respectively,If the two numbers are in the ratio 3 : 5, the numbers are ?

1. 24, 40
2. 21, 35
3. 36, 60
4. 48, 80

Correct Option: D

Suppose two numbers are 3N and 5N.
Then, 3N x 5N = HCF x LCM
⇒ 15N² = 16 x 240
⇒ N² = 256
⇒ N = 16
So, the number are 3N = 3 x 16 = 48 and 5N = 5 x 16 = 80.