The Sum of Two Numbers is 94 and Their Difference is 1




The sum of two numbers is 94 and their difference is 1. 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 1. In other words, x minus y equals 1 and can be written as equation B:

x - y = 1

Now solve equation B for x to get the revised equation B:

x - y = 1
x = 1 + y


Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 94
1 + y + y = 94
1 + 2y = 94
2y = 93
y = 46.5


Now we know y is 46.5. Which means that we can substitute y for 46.5 in equation A and solve for x:

x + y = 94
x + 46.5 = 94
X = 47.5


Summary: The sum of two numbers is 94 and their difference is 1. What are the two numbers? Answer: 47.5 and 46.5 as proven here:

Sum: 47.5 + 46.5 = 94
Difference: 47.5 - 46.5 = 1



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The Sum of Two Numbers is 94 and Their Difference is 2
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