Question

LCM and HCF of two numbers are 66 and 11 respectively. If one of the numbers is 33, then find the other number.

• A. 20
• B. 19
• C. 22
• D. 25

Answer 1

Answer:

C. 22

We use the standard relation:
$\text{HCF} \times \text{LCM} = \text{Product of the two numbers}$

Given:

HCF = 11

LCM = 66

One number = 33

Let the other number = (x)

$11 \times 66 = 33 \times x$
$726 = 33x$
$x = \frac{726}{33} = 22$
Answer: The other number is 22.