Use the given conditions to write a system of equations Solv

Use the given conditions to write a system of equations. Solve the system and find the numbers. The sum of two numbers is 13. If one number is subtracted from the other, the result is 1. Find the numbers.

Solution

Let the two numbers be x and y

x+y = 13 ---(1)

x - y = 1 ----(2)

Solve the two equations :

2x = 14 ; x= 7

y = 6

Thet two numbers are 6 and 7