The Sum of Two Numbers is 62 and Their Difference is 2

The sum of two numbers is 62 and their difference is 2. 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 62. In other words, x plus y equals 62 and can be written as equation A:

x + y = 62

The difference between x and y is 2. In other words, x minus y equals 2 and can be written as equation B:

x - y = 2

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

x - y = 2
x = 2 + y

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

x + y = 62
2 + y + y = 62
2 + 2y = 62
2y = 60
y = 30

Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:

x + y = 62
x + 30 = 62
X = 32

Summary: The sum of two numbers is 62 and their difference is 2. What are the two numbers? Answer: 32 and 30 as proven here:

Sum: 32 + 30 = 62
Difference: 32 - 30 = 2

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The Sum of Two Numbers is 62 and Their Difference is 3
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