Question

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

Answer 1

Answer:

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