Question

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

Answer 1

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

Answer 2

Answer -

We are given ratio of two numbers and their HCF and we are asked to find the numbers.

• Let the numbers be 21x and 17x
• HCF of the number is 5

HCF of a number is the highest common factor of the given numbers.

As we are given HCF of the numbers, we can find the numbers by multiplying the numbers by HCF. So we get the value of x as 5.

$\implies\sf 21 \times 5 = 105$

$\implies\sf 17 \times 5 = 85$

Numbers = 105 and 85.