Math, asked by sachinthakur52001, 7 months ago

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

Answers

Answered by anakhavsuresh
1

Answer:

your answer is here!!

Step-by-step explanation:

HCF is 4

Answered by Cynefin
8

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 !!

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