Question

HCF and LCM of two numbers is 4 and 24 respectively if one of the numbers is 8 find the other​

Answer 1

Answer:

12 is the second number

Step-by-step explanation:

we know that :

LCM ( a , b ) * HCF ( a , b ) = a*b

so ,

LCM ( a , 8 ) * HCF ( a , 8 ) = a*8 ( let the other number be a )

=> 24 * 4 = 8a

by solving :

a = 12

Answer 2

The other number = 12

Given :

• HCF and LCM of two numbers is 4 and 24 respectively

• One of the numbers is 8

To find :

The other number

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Relation between HCF and LCM :

HCF × LCM = Product of the numbers

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that HCF and LCM of two numbers is 4 and 24 respectively

One of the numbers is 8

Step 2 of 2 :

Find the other number

We know that ,

HCF × LCM = Product of the numbers

Thus we get ,

$\displaystyle \sf{ 4 \times 24 = 8 \times Other \: number }$

$\displaystyle \sf{ \implies 8 \times Other \: number =4 \times 24 }$

$\displaystyle \sf{ \implies Other \: number = \frac{4 \times 24}{8} }$

$\displaystyle \sf{ \implies Other \: number = \frac{96 }{8} }$

$\displaystyle \sf{ \implies Other \: number =12 }$

Hence the other number = 12

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