Question

Distribute an amount of RS. 500 among 2 brothers and one 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

in case a) the sis. will get 250 and two brothers will get 125

in b) in this the brothers will get 200 and the sis. will get 100

Answer 2

a) The sister gets Rs 250 and each brother gets Rs 125.

b) The sister gets Rs 100 and each brother gets Rs 200.

Step-by-step explanation:

We have to distribute Rs 500 among 2 brothers and one sister.

Let x be the amount sister get and y be the amount each brother get.

Thus, we can write:

$x + 2y = 500$

a) sister gets twice as much as brother gets.

Thus, we can write

$x = 2y$

Substituting values, we get,

$2y + 2y = 500\\4y = 500\\y = 125\\x = 250$

Thus, the sister gets Rs 250 and each brother gets Rs 125.

b) each brother gets twice as much as the sister does.

Thus, we can write

$y = 2x$

Substituting values, we get,

$x + 2(2x) =500\\5x = 500\\x = 100\\y = 2x = 200$

Thus, the sister gets Rs 100 and each brother gets Rs 200.

#LearnMore

Rs 1000 was distributed among a certain people if there were 5 people more each would get Rs 10 less . Among how many people was the amount distributed ​

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