The length of the segment AB = 33 cm Point C divides it into AC and BC. 40% of the segment AC

The length of the segment AB = 33 cm Point C divides it into AC and BC. 40% of the segment AC = 1/3 of the segment BC. Find the length of the segment.

1) Let us denote the length of the AC segment as x cm.

40% of the AC segment are: x * 40/100 = x * 2/5.

If we know the length of the segment AB, and the point C belongs to the given segment, then the length of the CB will be expressed as (33 – x) cm. Let’s make an identity:

x * 2/5 = 1/3 (33-x),

2 / 5x = 11 – 1 / 3x,

2 / 5x + 1 / 3x = 11,

6 / 15x + 5 / 15x = 11,

11 / 15x = 11,

x = 11: 11/15,

x = 15.

2) The length of the CB segment can also be calculated:

33 – 15 = 18 (cm).

Answer: the length of the AC segment is 15 cm, the length of the CB is 18 cm.