The sum of two numbers is 92. Their difference is 20. Find the two numbers?​

sum: 51 + -31 = 20

Step-by-step explanation: The sum of two numbers is 20 and their difference is 92. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 20. In other words, x plus y equals 20 and can be written as equation A:

x + y = 20

The difference between x and y is 92. In other words, x minus y equals 92 and can be written as equation B:

x - y = 92

Now solve equation B for x to get the revised equation B:

x - y = 92

x = 92 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 20

92 + y + y = 20

92 + 2y = 20

2y = -72

y = -36

Now we know y is -36. Which means that we can substitute y for -36 in equation A and solve for x:

x + y = 20

x + -36 = 20

X = 56

Summary: The sum of two numbers is 20 and their difference is 92. What are the two numbers? 56 and -36 as proven here: