Question

The sum of two numbers is $30$. If we double the larger number, and subtract three times the smaller number, the result is 5. What is the positive difference between the two numbers?

Answer 1

Answer: I think its 15

Explanation:

Answer 2

`8`

Explanation:

`x` is the larger number.

`y` is the smaller number.

`x+y=30\\2x-3y=5`

It becomes a simultaneous equation.

Let's solve for
`y`:

`x=-y+30`

`2x-3y=5\\2(-y+30)-3y=5\\-5y+60=5\\-5y+60+-60=5+-60\\-5y=-55\\y=11`

Let's solve for
`x`:

`x=-y+30\\x=-11+30\\x=19`

Find out the positive difference between the two numbers.

`x-y\\19-11\\=8`