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 12. If one number is subtracted from the other, the result is 4. Find the numbers. List the two numbers.

Solution

Let two numbers are x,y

given sum of two numbers is 12

ie x+y = 12 --------(1 )

and one number subtracted from other,the result is 4

ie x-y = 4 ---------(2)

(1)+(2) 2x = 16

x = 8

(1)-(2) 2y = 8

y = 4

the two numbers are x=8 , y=4