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Question
A man leaves half his property to his wife, one-third to his son and the remaining to his daughter. If the daughter's share is Rs 15000, how much money did the man leave? How much money did his wife get?
Solution
Let x be the total money left by the man.
Share of wife = `(1)/(2)x`
Share of son = `(1)/(3)x`
Share of daughter = `x - (1)/(2)x - (1)/(3)x` = 0.166667x
But daughter's share = Rs.15000
⇒ 0.166667 x Rs.15000
⇒ x = Rs.90000
Share of wife = `(1)/(2)x = (1)/(2) xx "Rs".90000` = Rs.45000
Therefore, Man left Rs.90000 and wife's share is Rs.45000.
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