SOLUTION: The sum of 3 numbers is 94, if the first number is 3/5 of the second number and the second number is 4/3 of the third. What are the three numbers?

Question 658736: The sum of 3 numbers is 94, if the first number is 3/5 of the second number and the second number is 4/3 of the third. What are the three numbers?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of 3 numbers is 94, if the first number is 3/5 of the second number and the second number is 4/3 of the third. What are the three numbers?
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Equations:
x + y + z = 94
x = (3/5)y
y = (4/3)z
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Substitute for "x" and "Z" and solve for "y":
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(3/5)y + y + (3/4)y = 94
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Multiply thru by 20 to get:
12y + 20y + 15y = 94*20
47y = 94*20
y = 2*20
y = 40
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x = (3/5)y = 24
z = (3/4)y = 30
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Cheers,
Stan H.
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