The sum of two number is 10 and the difference is two. What is the number

Answer 1

Hi Bryan,

Let's use the variable , x , to represent one of the numbers and the variable, y , to represent the other.

Since their sum is 10 , we can write the following equation to show this situation:

x + y = 10

Since their difference is 2, we can write the following equation to show this situation:

x - y = 2

Now we can use substitution to find the value of y.

From the second equation: x = y + 2

Substitute this expression for x into the first equation and solve for y:

y + 2 + y = 10

2y + 2 = 10

2y + 2 - 2 = 10 - 2

2y = 8

2y/2 = 8/2

y = 4

x will be 6 because the sum of x and y is 10