# The segment AB is larger than the segment CD by 4 cm. If segment AB is increased by 3cm, then its length will be 2 times longer

July 28, 2021 | education

| **The segment AB is larger than the segment CD by 4 cm. If segment AB is increased by 3cm, then its length will be 2 times longer than the length of segment CD. How long is the CD segment?**

Let the length of the segment CD (x) cm, then the length of the segment AB (x + 4) cm.If we increase the length of the segment AB by 3 cm, then it will have the length (x + 4 + 3) cm = (x + 7) cm. After increasing the length of the segment AB, it will become (x + 7) cm, which is 2 times the length of the segment CD, which is equal to (x) cm. Let’s make an equation and solve it.

2x = x + 7;

2x – x = 7;

x = 7 (cm)

Answer. 7 cm.

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