Given:
The LCM of two numbers is 14 times their HCF.
The sum of LCM and HCF is 600.
One number is 280.
To find:
The other number.
Solution:
Let HCF of two numbers be x.
The LCM of two numbers is 14 times their HCF.
LCM = 14x
The sum of LCM and HCF is 600.
So, HCF = 40 and the LCM is
We know that, if a and b are two numbers, then
One number is 280.
Therefore, the other number is 80.