Wealth Of Martin!
Martin distributes his wealth among his three children . He gave one- third to his elder son , one fourth to his second son and half the remaining to his younger son and kept remaining for himself. If he has Rs. 55,000 left for himself, then find his total wealth.
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1 solution
x = his total wealth
The remaining wealth after he gave one third to his eldest son and one fourth to his second son is
x − 3 1 x − 4 1 x = 1 2 5 x
The remaining wealth after he gave the half of the previous remaining to his youngest son is
1 2 5 x − 2 1 × 1 2 5 x = 2 4 5 x
And this is also equal to Rs. 55000, so
2 4 5 x = 5 5 0 0 0
x = 5 2 4 × 5 5 0 0 0 = R s . 2 6 4 0 0 0