On the segment AB, equal to 48 ms, points CD are marked so that point C lies between points B and D

On the segment AB, equal to 48 ms, points CD are marked so that point C lies between points B and D. Find the length of the segment CD if AC = 24 cm, BD = 32 cm.

1) Let’s write the available data from the condition into one example with an unknown CD:
AB = AC + DB – CD = 48 centimeters.
24 centimeters + 32 centimeters – CD = 48 centimeters.
56 centimeters – CD = 48 centimeters.
Now we can find the CD:
56 centimeters – 48 centimeters = 8 centimeters.
2) In a faster way, you can find CB:
CB = AB – AC
CB = 48 centimeters – 24 centimeters = 24 centimeters.
Then you can find CD by subtracting CB from DB:
32 centimeters – 24 centimeters = 8 centimeters.
Answer: CD is 8 centimeters.