The Sum of Two Numbers is 89 and Their Difference is 1




The sum of two numbers is 89 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 89. In other words, x plus y equals 89 and can be written as equation A:

x + y = 89

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 = 89
1 + y + y = 89
1 + 2y = 89
2y = 88
y = 44


Now we know y is 44. Which means that we can substitute y for 44 in equation A and solve for x:

x + y = 89
x + 44 = 89
X = 45


Summary: The sum of two numbers is 89 and their difference is 1. What are the two numbers? Answer: 45 and 44 as proven here:

Sum: 45 + 44 = 89
Difference: 45 - 44 = 1



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The Sum of Two Numbers is 89 and Their Difference is 2
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