Question

The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?

Answer 1

9 and 18

Explanation:

`x+y=27\\x=2y\\2y+y=27\\3y=27\\y=27/3=9\\x=27-9=18`

Answer 2

Answer: Please note the number of the order may differ.

`n_1` = 18

`n_2` = 9

Explanation:

We will write mathematical equations to represent the situation. Let
`n_1` be the first number and
`n_2` be the second.

-> The sum of two numbers is 27.

`n_1` +
`n_2` = 27

-> One number is 2 times as large as the other.

`n_1` = 2 *
`n_2`

Now, we will solve it as a system of equations.

`n_1` +
`n_2` = 27

(2 *
`n_2`) +
`n_2` = 27

3 *
`n_2` = 27

`n_2` = 9

-----------

`n_1` = 2 *
`n_2`

`n_1` = 2 * (9)

`n_1` = 18