# The length of segment AB is 40 cm Points C and D divide segment AB into segments AC, CD and DB

**The length of segment AB is 40 cm Points C and D divide segment AB into segments AC, CD and DB. The length of the segment CD is 4 cm longer than the length of the segment AC, but 2 times less than the length of the segment DB. Find the length of the segment AC.**

Let’s solve this problem using the equation.

Let the length of the segment CD be x centimeters, then the length of the segment DB wound is 2 * x centimeters, and the length of the segment AC is (x – 4) centimeters. We know that the length of the segment AB is 40 centimeters and it consists of the sum of the segments CD, DB and AC. Let’s make the equation:

x + 2 * x + x – 4 = 40;

x + 2 * x + x = 40 + 4;

x + 2 * x + x = 44;

x * (1 + 2 + 1) = 44;

x * 4 = 44;

x = 44: 4;

x = 11 centimeters – the length of the CD segment;

11 – 4 = 7 centimeters is the length of the AC segment.

Answer: 7 centimeters.