What two numbers have a sum of 50 and a difference of 10?

The sum of two numbers is 50, and their difference is 10. Find the numbers.

Let the two nos be x and yThen, as per the questions,Their Sum = x + y = 50Their difference = x + y = 10Then, adding the two equations, 2x = 60

x = 30, y = 20.

Concept: Simple Linear Equations in One Variable

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The Sum of Two Numbers is 50 and Their Difference is 10


What two numbers have a sum of 50 and a difference of 10?
The sum of two numbers is 50 and their difference is 10. 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 50. In other words, x plus y equals 50 and can be written as equation A:

x + y = 50

The difference between x and y is 10. In other words, x minus y equals 10 and can be written as equation B:

x - y = 10

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

x - y = 10
x = 10 + y

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

x + y = 50
10 + y + y = 50 10 + 2y = 50 2y = 40

y = 20

Now we know y is 20. Which means that we can substitute y for 20 in equation A and solve for x:

x + y = 50
x + 20 = 50
X = 30

Summary: The sum of two numbers is 50 and their difference is 10. What are the two numbers? Answer: 30 and 20 as proven here:

Sum: 30 + 20 = 50
Difference: 30 - 20 = 10


Sum Difference Calculator Do you want the answer to a similar problem? Enter the sum and difference here to find the two numbers:

The Sum of Two Numbers is 50 and Their Difference is 11

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