Question

rupees 9000 distributed among 3friend the second gets twice the amount of first friend and third get exactly half of the total amount of the first two friends Calculate how much each of them will get​

Answer 1

Answer:

There are 2 methods... But I am comfortable with this method:

Let the three friends be x, y and z.

The second gets twice the amount of the first friend. Thus,

y=2x..........................(1)

The Third friend gets exactly half of the total amount of the first two friends.

Thus, z=(x+y)/2.

We know that y=2x. Substitute this in (1).

z=(x+2x)/2

z=3x/2

Now, we know that 9000 is distributed among 3 friends.

Thus, x+y+z=9000.................(2)

We know that y=2x. Substitute this in (2).

We also know that z=3x/2. Substitute in (2).

x+2x+(3x/2)=9000

3x+3x/2=9000

9x/2=9000

x=(9000×2)/9

x=2000 Rs.

Now, y=2x.

Substitute the value of x.

y=2×2000

y=4000 Rs.

Now, z=3x/2

Substitute the value of x.

z=3×2000/2

z=3000 Rs.

Thus, the three friends get 2000Rs., 4000Rs., 3000Rs.

HOPE THIS HELPS :D