Point C is taken inside the segment AB so that AC: BC = 3: 7. Find the length of the line segment AC

Point C is taken inside the segment AB so that AC: BC = 3: 7. Find the length of the line segment AC if it is known that AB = 60.

Given: segment AB, point C, AC: BC = 3: 7, AB = 60.
Decision:
If we are given a ratio, then it is imperative to enter x.
Also, the condition 3: 7 means that the AC is 3 parts, and BC is 7 from the whole segment.
Therefore, knowing this, we can create an equation, and it will look like this:
3x + 7x = 60.
10x = 60.
x = 60/10.
x = 6.
We found only one part, and the segment AC is 3, so we just have to multiply 6 by 3 and get 18.
Answer: 18.