SOLUTION: A man left an estate of 64,000 to three children. the eldest child received 3 times as much as the youngest. the middle child received 14,000 more than the youngest. how much did e

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Question 267925: A man left an estate of 64,000 to three children. the eldest child received 3 times as much as the youngest. the middle child received 14,000 more than the youngest. how much did each child received?
Answer by palanisamy(496)   (Show Source): You can put this solution on YOUR website!
Let the youngest son receive an amount x
Given, the eldest child received 3 times as much as the youngest.
So the amount received by the eldest = 3x
Next, the middle child received 14,000 more than the youngest.
So the amount received by the middle = x+14000
Total amount is x+3x+x+14000 = 64000
5x = 64000-14000
5x = 50000
x = 50000/5
x = 10000
So,the youngest son receive an amount 10000
the amount received by the middle = x+14000 = 10000+14000 = 24000
the amount received by the eldest = 3x = 30000



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