
The sum of two numbers is 93 and their difference is 99. 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 93. In other words, x plus y equals 93 and can be written as equation A:
x + y = 93
The difference between x and y is 99. In other words, x minus y equals 99 and can be written as equation B:
x - y = 99
Now solve equation B for x to get the revised equation B:
x - y = 99
x = 99 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 93
99 + y + y = 93
99 + 2y = 93
2y = -6
y = -3
Now we know y is -3. Which means that we can substitute y for -3 in equation A and solve for x:
x + y = 93
x + -3 = 93
X = 96
Summary: The sum of two numbers is 93 and their difference is 99. What are the two numbers? Answer: 96 and -3 as proven here:
Sum: 96 + -3 = 93
Difference: 96 - -3 = 99
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The Sum of Two Numbers is 94 and Their Difference is 1
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