# A line segment is divided into two part in the ratio 4:7. If the difference between their lengths is 9 cm., how do you find the length of each part?

##### 1 Answer

May 24, 2015

x = 4/11 of the total length and y = 7/11 of the total length

11x = 4z and 11y = 7z so y = 7(11x/4) / 11 = 7x/4

y= x + 9

7x/4 = x+9

7x = 4x +36

3x = 36 so x= 12

Therefore y = 12+9 = 21