Question

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8. Distribute an amount of Rs.500 among 2 brothers and I sister such that
a. sister gets twice as much as brother gets.
b. each brother gets twice as much as the sister does.​

Answer 1

Answer:

Step-by-step explanation:

1) Let brothers part be x and sisters part be y

  sisters part = 2 (brothers part)

  y = 2(x)

  y = 2x

Rs. 500 = 2(x) + 2x

      500 = 4x

       x = 500/4

       x = 125

Brother's part = x = 125 rs

Sister's part = 2x = 250 rs

Hence each brother gets 125 rs and the sister gets 250rs.

2) Conversing the previous solution

 Let sisters part be x

  then, Brothers part = (2x)

                                                                                       {for 2 brothers = 2(2x)}

500 = 4x + x

500 =  5x

x = 100

Sister's part = x = 100rs

Each brother = 2x = 200rs