Free Calculator to Find Numbers by Sum and Difference

Welcome to the calculator to find numbers by sum and difference. This is a problem we often encounter, calculating two numbers that satisfy the condition based on the sum and difference. For example, the sum of two numbers is 88 and their difference is 54. What are the numbers?

How to solve such problems? Below we use an example to show.

The sum of two numbers is 110 and the difference is 38. What are the two numbers?

Let these two numbers be x and y. According to the question, we can list two equations

x + y = 110

x – y = 38

Two equations can be added together to get a new equation.

(x + y) + (x – y) = 110 + 38

Simplify this equation and solve.

x + y + x – y = 110 + 38

2x = 148

x = 1482

x = 74

Now, we get one number x is 74. Substitute x = 74 into any of the original equations above to calculate another number.

x + y = 110

74 + y = 110

y = 110 – 74

y = 36

Therefore, another number y is 36.

The two numbers are 74 and 36.

Let’s check if the answer is correct.

74 + 36 = 110

74 – 36 = 38

Exactly as stated in the question, so, this is correct.

The steps are simple but tedious, so we developed this calculator to find numbers by sum and difference. The calculator simplifies all the steps above and gets the answer in milliseconds.

Next, we will introduce how to use the calculator.

Using the calculator is simple, follow these 3 steps:

Next, let’s look at some examples.