# Points A, B, C lie on one straight line. Point A lies between points B and C. AB = x, AC = x + 4.3; BC = 6.7.

**Points A, B, C lie on one straight line. Point A lies between points B and C. AB = x, AC = x + 4.3; BC = 6.7. Find the length of the segment AC.**

Given:

points A, B, C lie on one straight line,

point A lies between points B and C,

AB = x,

AC = x + 4.3

BC = 6.7.

Find the length of the segment AC -?

Decision:

Consider the BC segment. Its length is equal to the sum of the lengths of the segments AB and AC, since point A lies between points B and C and all these three points lie on one straight line. Let’s make the equation:

x + x + 4.3 = 6.7;

x + x = 6.7 – 4.3;

x + x = 2.4;

x * (1 + 1) = 2.4;

x * 2 = 2.4 (in order to find an unknown factor, you need to divide the product by a known factor);

x = 2.4: 2;

x = 1.2 centimeters – the length of the segment AB;

1.2 + 4.3 = 5.5 centimeters — the length of the AC segment.

Answer: 5.5 centimeters.