Question

c) Rehan wrote his will giving 1/6 his money to his elder daughter and
instructing the remaining amount to be divided equally between his wife
and younger son. If the wife received * 60000, how much did each sibling
receive?​

Answer 1

Answer:

Fraction of money given to the elder daughter  =   1 / 6

Amount wife got                                                    =   Rs 60,000

Amount younger son got                                      =   Rs 60,000

Amount Rekha got                                                 =   Rs 10,000

Answer 2

Answer:

Amount received by Rehan's elder daughter = Rs. 24,000 and

Amount received by Rehan's  younger son = Rs. 60,000

Step-by-step explanation:

Solution :

Let,

The total amount Rehan had = x

Share of Rehan's elder daughter 1/6 of his money

The amount received by Rehan's daughter = 1/6x

The remaining amount to be divided equally between his wife and younger son

The wife received amount =  60,000

younger son received amount = 60,000

The amount received by each sibling = ??

_____________________________________

According to the Question :

$\longrightarrow 60000 \: + \: 60000 \: + \: \dfrac{1}{6} x \: = \: x$

$\longrightarrow \: 120000+\dfrac{1}{6}x=x$

$\longrightarrow{120000+\dfrac{1}{6}x-x=0}$

$\longrightarrow{120000-\dfrac{5}{6}x=0}$

$\longrightarrow{-\dfrac{5}{6}x=-120000}$

$\longrightarrow{x=-120000\left(-\dfrac{6}{5}\right)}$

$\longrightarrow{x=\dfrac{-120000\left(-6\right)}{5}}$

$\longrightarrow{x=\dfrac{720000}{5}}$

$\longrightarrow$ x = 1,44,000

The total amount Rehan had = Rs. 1,44,000

_____________________________________

The amount received by Rehan's daughter = 1/6x

$\longrightarrow{\dfrac{144000}{6}}}$

$\longrightarrow{24000}$

The amount received by Rehan's daughter = Rs. 24,000

And younger son received amount = Rs. 60,000

Therefore,

Amount received by Rehan's elder daughter = Rs. 24,000 and

Amount received by Rehan's  younger son = Rs. 60,000