
The sum of two numbers is 45 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 45. In other words, x plus y equals 45 and can be written as equation A:
x + y = 45
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 = 45
99 + y + y = 45
99 + 2y = 45
2y = -54
y = -27
Now we know y is -27. Which means that we can substitute y for -27 in equation A and solve for x:
x + y = 45
x + -27 = 45
X = 72
Summary: The sum of two numbers is 45 and their difference is 99. What are the two numbers? Answer: 72 and -27 as proven here:
Sum: 72 + -27 = 45
Difference: 72 - -27 = 99
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The Sum of Two Numbers is 46 and Their Difference is 1
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