Question

1. The ratio of two numbers is 7 : 5. HCF of the numbers is 17. The numbers are​

Answer 1

$\text{Let the two nuimbers be x and y}$

$\textbf{Given: x:y=7:5}$

$\text{Then, x=7k and y=5k}$

$\text{But the HCF of the two numbers is 17}$

$\text{It is clear that HCF of x and y is k}$

$\implies\,k=17$

$\therefore\textbf{The two numbers are 119 and 85}$

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Answer 2

The numbers are 119 and 85.

Step-by-step explanation:

The ratio of two numbers = 7 : 5

HCF of the numbers = 17

HCF is the greatest number which can divide both the numbers.

Let the numbers be 7x and 5x

x = HCF = 17

7x = 7 × 17 = 119

5x = 5 × 17 = 85

The numbers are 119 and 85.

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