Question

please fast hw

A man left one-third of his wealth to his wife, one-fourth to each of his two sons and donated the rest. of the wealth to a charitable trust. find the amount of charitable trust ​

Answer 1

let total money he has =x

therefore 1/3of x = money he left for his wife

1/4 of remaining i,e x-1/3of x

which means1/4of 2x/3 = 2x /12

now

total money =money left for wife +money left for children +money given to charitable trust

x = 1/3 x + 2x/12 + money given to trust

x = 18x /36 +money given to trust

x - 18x/36 = money given to trust

x -1x/2 = money given to trust

1x/2 i,e half money has been given to trust

Answer 2

HeYa❤️...

Answer:

Let the total wealth of man = x.

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Condition 1,

When he left for his wife,

$his \: wealth = x - \frac{1}{3}$

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Condition 2,

When he left for his son,

$his \: wealth \: = x - \frac{1}{3} - \frac{1}{4} - \frac{1}{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = x - \frac{ 10}{12}$

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$=>chartable \: trust \: = x - (x - \frac{10}{12} )\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = x - x + \frac{10}{12} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{10}{12}$

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