Question

HCF and LCM of two numbers is 3 & 108 one number is 27 find the other

A. 9
B. 18
C. 12
D. 21 ​

Answer 1

★ ANSWER ★

• (c) 12 (✔)

GIVEN:

• LCM = 108
• HCF = 3
• One number = 27

TO FIND:

• What is the other number ?

SOLUTION:

Let the another number be 'x'

To find the other number, we use the formula,

$\large{\boxed{\bf{\star \: HCF \times LCM = Product \: of \: two \: numbers \: \star}}}$

According to question:-

On putting the given values in the formula, we get

• HCF = 3
• LCM = 108
• One number = 27

$\rm{\hookrightarrow 3 \times 108 = 27 \times x}$

$\rm{\hookrightarrow \dfrac{3 \times \cancel{108}}{\cancel{27}} = x}$

$\rm{\hookrightarrow 3 \times 4 = x }$

$\bf{\hookrightarrow 12 = x}$

• Other number = x = 12

❝ Hence, the other number is 12 ❞

______________________

Answer 2

$\huge\sf\pink{Answer}$

☞ Your Answer is Option C

$\rule{110}1$

$\huge\sf\blue{Given}$

✭ HCF And the LCM of 2 Numbers is 3 and 108

✭ One Number = 27

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

◈ The other Number?

$\rule{110}1$

$\huge\sf\purple{Steps}$

Let us Assume the other Number as x

We know that,

$\sf\small\underline{\boxed{\sf Product \ of \ Numbers = LCM \times HCF}}$

Substituting the given values,

➳ $\sf 27 \times x = 3 \times 108$

➳ $\sf 27x = 324$

➳ $\sf x = \dfrac{324}{27}$

➳ $\sf \orange{x = 12}$

$\rule{170}3$