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

Algebra ->  Equations -> 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      Log On


   

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) About Me  (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