Question

Without finding the value of x and y.Find the value of x+y;if x+2y=27 and 2x+y=33

Answer 1

Adding both equations

x+2y+2x+y=27+33

3(x+y)=60

x+y=20

Answer 2

x+2y=27 be equation 1

2x+y=33 be equation 2

Adding equation 1 and 2

we get 3x+3y=60

Divide throughout by 3

x+y=20