Question

Rupees 9000 is distributed among 3 friends in such a manner that the second friend get twice the amount of the first friend and the third friend get exactly the half of the total amount of the first two friends. calculate how much money each of them will get.​

Answer 1

Answer:

total amount = 9000

let the amount 1st friend be x

2nd friend = 2x (given)

3rd friend = half of 1st and 2nd friend

x+2x+1/2*3x = 9000

2x+4x+3x =9000*2

9x=1800

x=2000

1st will get 2000

2nd=2x

=2*2000

=4000

3rd will get 1/2*(1st+2nd)

=1/2*6000

=3000

to check sum

(1st +2nd+3rd)

2000+4000+3000

=9000

Answer 2

Step-by-step explanation:

Total money= Rs. 9000

Let x be the amount given to 1st friend

then, the second friend will get 2x , and

third friend will get (x+2x) /2

As the sum of all distributed amount will be 9000

therefore,

$x + 2x + \frac{x + 2x}{2} = 9000 \\ 3x + \frac{3x}{2} = 9000 \\ \frac{6x + 3x}{2} = 9000 \\ 9x = 9000 \times 2\\ 9x= 18000 \\ x = 2000$

Therefore, 1st friend get Rs 2000

second friend get 2x=Rs 4000, and

third friend get (x+2x) /2=(6000) /2=3000

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