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

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

anonymous · Answer

lets the length of both parts are x and y...
than x/y=5/3....(1)
and x-y=6...
x=6+y...
putting the value of x in equation 1...
6+y/y=5/3...
18+3y=5y...
18=5y-3y..
2y=18...
y=9 cm...
x=6+y...
x=6+9..
x=15...
longest part length is 15 cm.