The sum of and the difference between the LCM and HCF of two numbers are 512 and 496, respectively. If one number is 72, then the other number is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 56
Sum of LCM and HCF = 512 ⇒ LCM + HCF = 512......(1)
Difference of LCM and HCF = 496 ⇒ LCM - HCF = 496.........(2)
On solving 1 and 2 we get,
LCM = 504 and HCF = 8
HCF × LCM = No1 × No2
8 × 504 = 72 × No2
No2 = 56.