
The sum of two numbers is 94 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 94. In other words, x plus y equals 94 and can be written as equation A:
x + y = 94
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 = 94
4 + y + y = 94
4 + 2y = 94
2y = 90
y = 45
Now we know y is 45. Which means that we can substitute y for 45 in equation A and solve for x:
x + y = 94
x + 45 = 94
X = 49
Summary: The sum of two numbers is 94 and their difference is 4. What are the two numbers? Answer: 49 and 45 as proven here:
Sum: 49 + 45 = 94
Difference: 49 - 45 = 4
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The Sum of Two Numbers is 94 and Their Difference is 5
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