The sum of two numbers is 100 and their difference is - 20. What are the two numbers?

x=40 and y = 60

Step-by-step explanation:

step:1

Let 'x' and 'y' are two numbers

given data the sum of two numbers is 100

x+y = 100 ... (1)

Given difference of two numbers are

x - y = - 20 ... (2)

Step : 2

solving the equation (1) and (2)

adding the equations (1) and (2)

x+y+x-y=100-20

cancelling 'y' terms are

2 x = 80

dividing "2" on both sides, we get

x = 40

Step : 3

substitute x = 40 in equation (1)

x + y = 100

40 + y = 100

subtracting "40" on both sides, we get

40 + y - 40 = 100 - 40

y = 60

Final answer:-

The two numbers are x = 40 and y = 60