The sum of two numbers is 20 and their difference is 8

What is the larger number and what is the smaller number

Larger. Smaller.

14 and 6

Step-by-step explanation:

The sum of the two numbers can be represented by x + y.

The difference of the two numbers can be represented by x-y.

Add the two equations.

(x+y) + (x-y) = 20+8

Remove the parentheses and simplify.

2x=28

Divide both sides by 2 to get x=14.

Substitute 14 into the equation x+y=20 to get 14+y=20.

Subtract 14 from both sides to get y=6.

14 and 6.

Because you half the 20 (10) and then take away 4 because it is half of 8.