Answer: 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? Answer: 56 and -36 as proven here: