Home » Aptitude » HCF and LCM

The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then their difference is

Correct Answer: 10

Explanation:

Let the numbers be x and (100-x).


 


Then, x 100 - x = 5 * 495


 


 =>   x 2 - 100 x + 2475 = 0


 


 =>  (x-55) (x-45) = 0


 


 =>  x = 55 or x = 45


 


  The numbers are 45 and 55


 


Required difference = (55-45) = 10


← Previous Question Next Question→

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion