Question

On a number line, the coordinate of point A is $0$, and the coordinate of point B is $6$. If point P is located on the number line so that the distance from P to A is twice the distance from P to B, find the coordinate of point P.

• A. $2$ only
• B. $4$ only
• C. $2$ or $4$
• D. $4$ or $12$
• E. $12$ only

Answer 1

The correct option is D $4$ or $12$

• Let coordinate of $P$ be $x$
• we get $|x|=2|x-6|$ , which gives
• $x=2x-12$ , $x=12-2x$
• $x=12$ , $x=4$