Question

the ratio of two number is 3:4 if there LCM IS 48 FIND THE HCF​

Answer 1

Answer:

your answer is here!!

Step-by-step explanation:

HCF is 4

Answer 2

Answer:

Given in the question, ratio of the numbers and LCM. We have to use the formula which says about the relation between HCF, LCM and product of two numbers.

GiveN:

• Ratio of the numbers = 3 : 4
• LCM of the numbers = 48

To find the HCF of these numbers.

So, let's start solving....

Let the two numbers be 3x and 4x because they are in a certain ratio. Then, LCM of 3x and 4x would be 12x.

ATQ,

$\sf{ \longrightarrow{LCM = 48}}$

Now plugging the value of LCM according to data,

$\sf{ \longrightarrow{12x = 48}}$

$\sf{ \longrightarrow{x = 4}}$

So, the numbers are:

• First number = 3(4) = 12
• Second number = 4(4) = 16

Now we have got the numbers and the LCM of these numbers. So, we can use the relation formula:

$\sf\because{ \boxed{ \sf{HCF\times LCM = product \: of \: 2 \: numbers}}}$

Plugging the values to get HCF,

$\sf{ \longrightarrow{HCF\times 48 = 12 \times 16}}$

$\sf{ \longrightarrow{HCF= \dfrac{12 \times 16}{48} }}$

$\sf{ \longrightarrow{HCF = 4}}$

Hence, the required HCF of these numbers is 4. (Ans)

And we are done !!