1) if the ratio of two numbers is 5: 2, what is the ratio of their sum to their difference? 2)find two numbers if their sum is 91 and the ratio is 6: 7

QUESTION 1

Let the numbers be x and y.

It was given that the numbers are in the ratio 5:2.

This implies that,



The sum of the numbers is



The difference is


The ratio if the sum to the difference is



QUESTION 2

Let the numbers be m and n.

This implies that,



Also,



We rewrite this as a fraction to get,



We make m the subject to get,


We put equation (2) into equation (1) to get,











The numbers are 42 and 49.