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]