Problema Solution
Points A, B and C are collinera, with B between A and C. If the distance from point A to point B is 8 more than twice the difference from point B to point C, and the length of segmen AC is 5 times the length of segment BC, how long is segment AC?
Answer provided by our tutors
AB + AC must equal BC. Draw the line and points to see why.
4x-3 + 5x - 16 = 7x + 5
9x - 19 = 7x + 5
2x = 24
x = 12
BC = 7x + 5 = 89
AB = 4x-3 = 45
AC = 5x-16 = 44