Answer:
x= 35
y= 15
Step-by-step explanation:
x+y = 50 [Eq 1]
x-y = 20 [Eq 2]
x = 50-y [From Eq - 1]
Substitute this value in Eq 2
x-y = 20
50-y -y = 20 [Add two negative numbers and assign a - sign]
50–2y = 20 [As numbers are transposed from one to another side their sign changes]
50 -20 = 2y
30 = 2y
Dividing by 2 both sides
30/2 = 2y/2
15 = y
x = 50-y
x = 50–15 = 35
The sum of two number is 50.
x + y = 50
And their difference is 20.
x - y = 20
By using elimination method, add or subtract the two equations:
x + y = 50
x - y = 20
2x = 70
x = 35
Substitute x to either of the two equations.
x - y = 20
35 - y = 20
y = 35 - 20
y = 15
Therefore the numbers are x = 35 and y = 15.
I hope you have learned something.
