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Q.

A father divides his property among his 3 sons such that the eldest son's share is double the second son's share and the share of the second son is triple the third son's share. If the second son gets Rs.4000 more than the third, find the value of the total property.

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Detailed Solution

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Suppose share of eldest sons = z
Share of second sons = y
Share of third sons = x 
Here, the eldest son's share = 2 x second son's share. 

So,
2y=z 

The share of the second son = 3 x third son's share.
y=3x 

Now, second son gets Rs. 4000 more than 3rd son, so
y=x+4000 

3x=x+4000          (since, y =3x)
2x=4000 
x=2000  

So, the third son's share, x=Rs. 2000
Now, second son's share
y=3x
y=Rs. 6000
The share of the eldest son,
z=2y
z=Rs. 12000
So, the total money,
=x+y+z
=2000+6000+12000 
=Rs. 20000  

Hence, the total value of the property = Rs. 20000.

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A father divides his property among his 3 sons such that the eldest son's share is double the second son's share and the share of the second son is triple the third son's share. If the second son gets Rs.4000 more than the third, find the value of the total property.