The Sum of Two Numbers is 74 and Their Difference is 1




The sum of two numbers is 74 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 74. In other words, x plus y equals 74 and can be written as equation A:

x + y = 74

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 = 74
1 + y + y = 74
1 + 2y = 74
2y = 73
y = 36.5


Now we know y is 36.5. Which means that we can substitute y for 36.5 in equation A and solve for x:

x + y = 74
x + 36.5 = 74
X = 37.5


Summary: The sum of two numbers is 74 and their difference is 1. What are the two numbers? Answer: 37.5 and 36.5 as proven here:

Sum: 37.5 + 36.5 = 74
Difference: 37.5 - 36.5 = 1



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The Sum of Two Numbers is 74 and Their Difference is 2
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