The LCM of two numbers is 20 times their HCF. The sum of the HCF and LCM is 2520. If one of the numbers is 480 the other number is:
Answer & explanation
Correct answer: option 3
LCM = 20 × HCF (given)
Let HCF = x
LCM = 20x (according to the question)
LCM + HCF = 2520
20x + x = 2520
21x = 2520
x = 120
The HCF is 120
The LCM is 2400
One number is 480
Other number is y
The product if the two number is = HCF × LCM
480 × y = 120 × 2400
y = 600