
The sum of two numbers is 94 and their difference is 7. 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 7. In other words, x minus y equals 7 and can be written as equation B:
x - y = 7
Now solve equation B for x to get the revised equation B:
x - y = 7
x = 7 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 94
7 + y + y = 94
7 + 2y = 94
2y = 87
y = 43.5
Now we know y is 43.5. Which means that we can substitute y for 43.5 in equation A and solve for x:
x + y = 94
x + 43.5 = 94
X = 50.5
Summary: The sum of two numbers is 94 and their difference is 7. What are the two numbers? Answer: 50.5 and 43.5 as proven here:
Sum: 50.5 + 43.5 = 94
Difference: 50.5 - 43.5 = 7
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The Sum of Two Numbers is 94 and Their Difference is 8
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