Answer:
AB = 9, BC = 15
Step-by-step explanation:
Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C
[tex]\therefore AC = AB + BC\\
\therefore 24 = x + x + 6\\
\therefore 24 = 2x + 6\\
\therefore 24 - 6 = 2x \\
\therefore 18 = 2x \\
\therefore \: \frac{18}{2} = x \\ \therefore \: x = 9[/tex]
[tex]\therefore AC = AB + BC\\
\therefore 24 = x + x + 6\\
\therefore 24 = 2x + 6\\
\therefore 24 - 6 = 2x \\
\therefore 18 = 2x \\
\therefore \: \frac{18}{2} = x \\ \therefore \: x = 9 \\ \because \: AB = x \\ \huge \red{ \therefore AB = 9} \\ \\ \because \:BC = x + 6 \\ \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}[/tex]
