The sum of two numbers is
65
. one number is
4
times as large as the other. what are the numbers?

Call the two numbers 'x' and 'y'. We can then set up two equations (using the given information) to represent the relationships between the numbers:

1. The sum of the two numbers is 65: 


2. One number is 4 times and large as the other:


We can then solve by substitution:









The numbers are 13 and 52.