A man divides his property so that his son’s share to his wife’s and the wife’s share to his ...
A man divides his property so that his son’s share to his wife’s and the wife’s share to his daughter are both in the ratio 3 : 1. If the daughter gets 10,000 less than the son, find the total worth of the property.
Answer/Solution
16,250
Steps/Work
Let Son’s share = S;
Daughter’s share = D;
and Wife’s share = W.
Also, S : W = W : D = 3 : 1
∴ S : W : D = 9 : 3 : 1
then S = 9x , D = x
and 9x – x = 10,000 ⇒ x = 1250
∴ Total worth of the property = (9 + 3 + 1)x = 13x
= 13 × 1250 = 16,250
Answer B
Daughter’s share = D;
and Wife’s share = W.
Also, S : W = W : D = 3 : 1
∴ S : W : D = 9 : 3 : 1
then S = 9x , D = x
and 9x – x = 10,000 ⇒ x = 1250
∴ Total worth of the property = (9 + 3 + 1)x = 13x
= 13 × 1250 = 16,250
Answer B