Q26 of 53 Page 1

The LCM of 2 numbers is 11 times their HCF. The sum of LCM and HCF is 720. If one number is 360. Find the other.

Given: HCF+LCM= 720


ONE NUMBER= 280


To find: The other number


Formula used:


HCF×LCM= 1ST NUMBER × 2ND NUMBER


Explanation:


Let the HCF = X


LCM = 11 X


HCF + LCM = 720


X+ 11 X = 720


12 X = 720


X= 720/12


X = 60


HCF = 60


LCM = 11 X = 11 × 60 = 660


HCF×LCM = 1ST NUMBER × 2ND NUMBER


60× 660 = 360× 2ND NUMBER


2ND NUMBER


2ND NUMBER


2ND NUMBER = 110


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