Answer:
The sum of two numbers is 15 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 15. In other words, x plus y equals 15 and can be written as equation A:
x + y = 15
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 = 15
92 + y + y = 15
92 + 2y = 15
2y = -77
y = -38.5
Now we know y is -38.5. Which means that we can substitute y for -38.5 in equation A and solve for x:
x + y = 15
x + -38.5 = 15
X = 53.5
Summary: The sum of two numbers is 15 and their difference is 92. What are the two numbers? Answer: 53.5 and -38.5 as proven here:
Sum: 53.5 + -38.5 = 15
Difference: 53.5 - -38.5 = 92
Step-by-step explanation:
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