The sum of and difference between the LCM and HCF of two numbers are 512 and 496, respectively. If one numbers is 72, then the other number is:
A. 56
B. 64
C. 80
D. 40
Answer: Option A
Solution(By Examveda Team)
LCM + HCF = 512LCM - HCF = 496
$$\overline {\,2{\text{LCM}}\,\,\,\,\,\,\, = 1008\,} $$
LCM = 504
HCF = 8
I = 72
II = ?
I × II = LCM × HCF
72 × II = 504 × 8
II = 56
This Question Belongs to Arithmetic Ability >> Problems On H.C.F And L.C.M
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