The sum of two numbers is 33. One number is 2 times as large as the other number. What are the numbers?

Answer 1

Let's represent one of the numbers with the variable x .

Then we can write the following expression to represent the other number: 2x

Then since the sum of the two numbers is 33, we can write the following equation:

x + 2x = 33

Now combine like terms and use inverse operations to solve:

x + 2x = 33

3x = 33

3x/3 = 33/3

x = 11

The first number will be 11.

The second number will be twice as large or 2x = 2* 11 = 22