The Sum of Two Numbers is 61 and Their Difference is 5

The sum of two numbers is 61 and their difference is 5. 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 61. In other words, x plus y equals 61 and can be written as equation A:

x + y = 61

The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:

x - y = 5

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

x - y = 5
x = 5 + y

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

x + y = 61
5 + y + y = 61
5 + 2y = 61
2y = 56
y = 28

Now we know y is 28. Which means that we can substitute y for 28 in equation A and solve for x:

x + y = 61
x + 28 = 61
X = 33

Summary: The sum of two numbers is 61 and their difference is 5. What are the two numbers? Answer: 33 and 28 as proven here:

Sum: 33 + 28 = 61
Difference: 33 - 28 = 5

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