
The sum of two numbers is 95 and their difference is 4. 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 95. In other words, x plus y equals 95 and can be written as equation A:
x + y = 95
The difference between x and y is 4. In other words, x minus y equals 4 and can be written as equation B:
x - y = 4
Now solve equation B for x to get the revised equation B:
x - y = 4
x = 4 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 95
4 + y + y = 95
4 + 2y = 95
2y = 91
y = 45.5
Now we know y is 45.5. Which means that we can substitute y for 45.5 in equation A and solve for x:
x + y = 95
x + 45.5 = 95
X = 49.5
Summary: The sum of two numbers is 95 and their difference is 4. What are the two numbers? Answer: 49.5 and 45.5 as proven here:
Sum: 49.5 + 45.5 = 95
Difference: 49.5 - 45.5 = 4
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The Sum of Two Numbers is 95 and Their Difference is 5
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