Answer:
1) A system of two linear equations to represent this problem
x+y=20 and x-y=12
2) The numbers are x=16 and y=4
Step-by-step explanation:
Let x and y be the two numbers
Given that the sum of the two numbers is 20
That is
and the difference is 12
That is
1) A system of two linear equations to represent this problem
2). Noe Solve the system to find the 2 numbers:
Adding the equations (1) and (2) we get
_____________
2x=32
Therfore x=16
Now substitute x=16 in equation (1) we get
Therefore y=4
Therefore the numbers are x=16 and y=4