SOLUTION: A man left legacies to his three sons and to a hospital, amounting in all to $1,320.00. If he had left the hospital legacy also to his first son, that son would have received as mu

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Question 809063: A man left legacies to his three sons and to a hospital, amounting in all to $1,320.00. If he had left the hospital legacy also to his first son, that son would have received as much as the other two sons together. If he had left it to his second son, he would have received twice as much as the other two sons
together. If he had left the hospital legacy to his third son, he would have received then thrice as much as the first son and second son together. Find the amount of each legacy.
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) About Me  (Show Source):
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b+c+L=1320,
L+a=(b+c),
L+b=2*(a+c),
L+c=3*(a+b)
a = 55, b = 275, c = 385, L = 605