Question

Point P is on the number number line. The distance between O and P is four times the distance between P and 30. What is the sum of two possible values of P? What are two possibilities for the coordinates?


Let me make sure I understand what's asked.
"Point P is on the number number line. "
Does this mean it's on the x-axis?

The distance between O and P is four "times the distance between P and 30." Is that O (letter oh) or 0 (zero)?

Let the distances between P and O be denoted by D. Then d(O,P)=4*d(P,30)

If you mean two separate points P and O then there are an infinite number of solutions. If 0 is meant, then we have
(1/4)|P|=|P-30|
If P>30, then P/4=P-30 or 30=(3/4)P and P=40
If P<30, then P/4=30-P and (5/4)P=30 or P=24
Hopefully I read and understand the question correctly. I'll let you finish answering the questions and verify the solutions.
If something else is meant please post it.