a segment of 35cm long is divided in 2 segment whose ratio is 3:4 how long is each segment?

Let x = the shorter segment.

3/7 = x/35
7x = 105
x = 15

X=15

y=20

Right.

To find the lengths of the two segments, let's assign variables to them. Let's call the length of the first segment 3x (since its ratio is 3), and the length of the second segment 4x (since its ratio is 4).

According to the given information, the sum of the lengths of the two segments is 35 cm. So, we can write an equation:

3x + 4x = 35

Combining the like terms:
7x = 35

To find the value of x, we divide both sides of the equation by 7:
x = 35/7
x = 5

Now that we know x = 5, we can substitute this value back into the expressions for the lengths of the segments:

Length of the first segment = 3x = 3 * 5 = 15 cm
Length of the second segment = 4x = 4 * 5 = 20 cm

Therefore, the length of the first segment is 15 cm and the length of the second segment is 20 cm.