a) 65 and 91

b) 60 and 91

c) 55 and 90

d) 65 and 80

correct answer is: a) 65 and 91

#### Explanation

Here, The ratio of two numbers be 5\;:\;7\;.

Their HCF be 13

We know, HCF is the highest common factor of two numbers.

So that, the numbers are :

\left(5\times13\right)=65

\left(7\times13\right)=91 **Ans:** The numbers are 65 and 91.

###### Other variants of this particular math question are:

**Find the numbers given their ratio is 5 : 7 and their highest common factor (HCF) is 13.****Given that the ratio of two numbers is 5 : 7 and their highest common factor (HCF) is 13, ascertain the numbers.****If the ratio of two numbers is 5 : 7 and their highest common factor (HCF) is 13, what are the numbers?**