LCM of two numbers is 22 times their HCF. If one of the numbers is 132 and the sum of LCM and HCF is 276, then what is the other number?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 24
Given:
LCM of two numbers is 22 times their HCF
One of the numbers is 132
Sum of LCM and HCF is 276
Formula used:
LCM × HCF = A × B ----- (1)
Where, A = one number
B = another number
Calculations:
Let the HCF be h
LCM = 22h
⇒ 22h + h = 276
⇒ 23h = 276
⇒ h = 12
LCM = 22 × 12 = 264
Now using equation (1), we get
⇒ 264 × 12 = 132 × B
⇒ B = 24