Question

The HCF of two numbers is 6 and their LCM is 36. If one of the numbers is 12, find the
other?

​

Answer 1

AnsWer :

18.

To FinD :

The other number?

SolutioN :

• Let the other number be x.

A / Q,

We know that,

$\tt \dagger \: \: \: \: \: HCF \times LCM = Product \: of \: two \: number.$

So,

• HCF is 6.
• LCM is 36.
• One number is 12.
• Other number be x ( Let above )

$\tt \longmapsto \: \: \: \: \: 6 \times 36 = 12x.$

$\tt \longmapsto \: \: \: \: \: 216 = 12x.$

$\tt \longmapsto \: \: \: \: \: x = \dfrac{\cancel{216}}{\cancel{12}}$

$\tt \longmapsto \: \: \: \: \: x = 18.$

Therefore, the value of other number is 18.

$\rule{200}3$

MorE InformatioN :

$\tt \ \bigstar \: \: \: \: \: HCF \times LCM = Product \: of \: two \: number.$

Answer 2

Answer:

Question:-

The HCF of two numbers is 6 and their LCM is 36. If one of the numbers is 12, find the other?

Answer:-

Given,

HCF of two numbers is 6

LCM is 36

one of the numbers is 12

Then,

6 × 36 = 12x

6 × 36 = x. [ 6/12 = 1/2]

12

36 = x

2

18 = x

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