The LCM of two positive numbers is 13 times their HCF. The sum of HCF and LCM is 252. If one number is 54, then the other number is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 78
Let's assume the HCF of the number is x.
ATQ,
LCM of the two numbers = 13x
x + 13x = 252
x = 252/14 = 18
HCF = 18
LCM = 13 × 18 = 234
LCM × HCF =First number × Second number
234 × 18 = 54 × second number
Second number = 78