Question

the HCF of two numbers is 22 and their LCM is 264 if one number is 66 then the other number is what​

Answer 1

$\huge\mathfrak{Answer:}$

Given:

• We have been given that the HCF of two numbers is 22 and their LCM is 264.
• One number is 66.

To Find:

• We need to find the other number.

Solution:

It is given that the HCF of two numbers is 22 and their LCM is 264. One number is 66.

Let the other number be x.

We know that HCF × LCM = Product of numbers

Substituting the values, we have

$\longrightarrow\sf{ (22) \times (264) = (66) \times (x)}$

$\longrightarrow\sf{ 5808 = 66x}$

$\longrightarrow\sf{ \dfrac{5808}{66} = x}$

$\longrightarrow\sf{ 88 = x}$

Verification:

$\longrightarrow\sf{22 \times 264 = 66 \times 88}$

$\longrightarrow\sf{5808 = 5808}$

Hence verified!!

Hence, the other number is 88.

Answer 2

$\mathfrak{\large{\underline{\underline{Answer}}}}$

88

$\mathfrak{\large{\underline{\underline{Explanation}}}}}$

Given :

• HCF of the two number = 22 and their LCM =22

• One number is 66

To find :

The another number

Solution :

Let , that number be “a”

We know that,

$\implies \rm{HCF\times LCM=Product\ of\ the\ numbers}$

$\implies 22\times264 = 66 \times a$

$\implies a = ( 22 \times 264 ) \div\ 66$

$\implies a = 5808\ \div \ 66$

$\implies a=88$

Hence , the other number is 88.

★Verification★

$\implies 22\times 264=66\times88$

$\implies 5808=5808$