Respuesta :

For this case we have:

"One number plus its double equals its half plus fifteen, what is the number?"

x: Let the variable that represents the unknown number

According to the statement we have:

"One number plus its double" is represented as:[tex]x + 2x[/tex]

"Its half plus fifteen" is represented as: [tex]\frac {x} {2} +15[/tex]

Then we have the following expression:

[tex]x + 2x = \frac {x} {2} +15[/tex]

We solve the equation:

[tex]3x = \frac {x} {2} +15\\3x- \frac {x} {2} = 15\\\frac {6x-x} {2} = 15\\\frac {5} {2} x = 15\\5x = 30\\x = \frac {30} {5}\\x = 6[/tex]

So the number is 6

Answer:

[tex]x = 6[/tex]