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

univerkov | 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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