The length of segment AB is 10 cm. Divide it into two segments so that one segment is 3 cm longer than the other.

1. Suppose that the length of one of the segments into which the segment AB will be divided is x cm.

2. Since the second segment is 3 cm longer than the first, therefore, you can write down its length as follows (x + 3) cm.

3. Let’s compose an equation and calculate what is the length of the first segment, if from the problem statement we also know that the total length of these segments is 10 cm.

x + x + 3 = 10;

2 * x = 10 – 3;

2 * x = 7;

x = 7/2;

x = 3.5 cm.

4. Now let’s calculate the length of the second segment.

3.5 + 3 = 6.5 cm.