Question

devide 1380 among Ramman,Rohan and Rakhi so that the amount Ramman receives is 5 times as much as Rakhi share and is 3 time as much as Rohan share​

Answer 1

Step-by-step explanation:

let ramman's share be x

let Rohan's share be y

let Rakhi's share be z

ramman gets 5 times that of Rohan

x = 5y

y = x/5

ramman gets 3 times that of Rakhi

x = 3z

z = x/3

all together the amount is 1380

x + y + z = 1380

substitute y = x/5 and z = x/3

$x + \frac{x}{5} + \frac{x}{3} = 1380 \\ \frac{15x + 3x + 5x}{15} = 1380 \\ 23x = 1380 \times 15 \\ x = \frac{1380 \times 15}{23} \\ x = 60 \times 15 \\ x = 900 \\ \\ y = \frac{x}{5} = \frac{900}{5} = 180 \\ z = \frac{x}{3} = \frac{900}{3} = 300$

therefore the shares are

ramman = x = 900

Rohan = y = 180

Rakhi = z = 300

hope you get your answer