
The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is

 5
 25
 100
 125
Correct Option: B
Let LCM be L and HCF be H, then
According to question ,
L = 4H
sum of LCM and HCF = 125
⇒ H + 4H = 125
⇒ 5H = 125
⇒ H =  = 25  
5 
∴ L = 4 × 25 = 100
∴ Second number =  
First number 
Second number =  = 25  
100 