Math, asked by sarthaksingh95, 2 months ago

Two numbers are in the ratio 21:17. If their HCF is 5, find the numbers.​

Answers

Answered by Anonymous
24

Answer:

Given :-

  • Two numbers are in the ratio of 21 : 17 and their HCF is 5.

To Find :-

  • What are the numbers.

Solution :-

Let, the first number be 21x

And, the second number will be 17x

Then, the L.C.M = 21x × 17x

As we know that,

H.C.F × L.C.M = Product of two numbers

Given :

  • H.C.F = 5
  • L.C.M = 21x × 17x
  • Product of two numbers = 21x and 17x

According to the question by using the formula we get,

5 × 21x × 17x = 21x × 17x

5 × 357x = 357x

5 = 357x/357x

5 = x

x = 5

Hence, the required numbers are,

First number = 21x = 21(5) = 105

Second number = 17x = 17(5) = 85

The numbers are 105 and 85.

Answered by Anonymous
16

Solution:-

Given:-

  • → Ratio are 21 : 17
  • → Let the be 21x , 17x and its HCF be x
  • → Its HCF is 5
  • → Number 21x , 17x , where x is 5

We Get

  • → 21x and 17x
  • → 21 × 5 and 17 × 5
  • → 105 and 85
  • → The Number are 105 and 85

Answer

  • 105 and 85

                                                       

More Information about HCF

→ HCF( Highest common factor )  of two or more number cannot greater than any one of them

→ If One number is a factor of the other number their HCF will be that Smaller number

→The HCF of the Number is the product of the common prime factor

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