Question

the product of HCF and LCM of two number is 1152.If 1 number is 48 find the other number​

Answer 1

Given

• Product of HCF and LCM = 1152
• One number = 48

Find out

• Other number

Solution

As we know that

✑LCM × HCF = Product of two numbers

★ Let the another number be x

➪ 1152 = 48*x

➪ 1152 = 48x

➪ x = 1152/48

➪ x = 24

Hence,

• Another number is 24

$\rule{200}3$

Answer 2

GIVEN :-

• The product of HCF and LCM of two numbers is 1152.

• And one number is 48 .

TO FIND :-

• Second number.

SOLUTION :-

Let, second number be R.

We know that,

$\dagger \: { \boxed { \red{{ \sf \: LCM \: × \: HCF \: = \: Product \: of \: other \: two \: numbers. </p><p>}}}}$

[ Put the values ]

$\longrightarrow \tt \: 1152 = 48 × R \\ \\ \longrightarrow \: \tt R \: = \frac{ \cancel{1152}}{ \cancel{48}} \\ \\ \longrightarrow \: \tt {\red \: {R \: = 24}}$

Therefore, Second number is 24.

$\tt \dagger \: \: { \red{ \underline{ \underline{ VERIFICATION}}}} \: \: \dagger \:$

$\longrightarrow \: \: {{{{ \sf \: LCM \: × \: HCF \: = \: Product \: of \: other \: two \: numbers. </p><p>}}}} \\ \large \tt \green{[ Put \: the \: values ]} \\ \\ \longrightarrow \tt 1152 \: = 48 \: \times \: 24 \\ \\ \longrightarrow 1152 \: = 1152$

$\mathcal \: { \blue{ \tt{Hence \: verified \: !! }}}$