Question

Lcm of two numbers is 20 times their hcf. the sum of hcf and lcm is 2520. if one of the number is 480 then the other number is

Answer 1

Heya !!




Let HCF of two numbers be X.



LCM = 20X.




Sum of LCM and HCF = 2520




20X + X = 2520



21X = 2520



X = 2520/21



X = 120.



HCF = X = 120.


LCM = 20X = 20 × 120 = 2400


One number = 480.



Other number = ?




As we know that,


One number × Other Number = HCF × lCM






480 × Other number = 120 × 2400



Other number = ( 120 × 2400/480)


other number = 600