Question

A segment is divided into two parts having lengths in the ratio of 5:3. If the difference between the length of the parts is 6", find the length of the longest part.

3
9
15
24

Answer 1

Explanation:

Ratio = 5:3

Let the lengths of the two parts be 5x , 3x

5x - 3x = 6

2x = 6

x = 6/2

x = 3

Length of the longest part = 5x = 5*3 = 15"