SOLUTION: The ratio of two numbers is 3:4. Their sum is to the sum of their squares as 7 is to 50. Find the numbers. (Thanks for your help.)

Question 190412: The ratio of two numbers is 3:4. Their sum is to the sum of their squares as 7 is to 50. Find the numbers. (Thanks for your help.)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The ratio of two numbers is 3:4.
Let the numbers be 3x and 4x
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Their sum is to the sum of their squares as 7 is to 50. Find the numbers.
Equation:
(3x+4x)/((3x)^2+(4x)^2) = 7/50
7x/25x^2 = 7/50
x/25x^2 = 1/50
1/25x = 1/50
x = 2
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One number is 3x = 6
The other is 4x = 8
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Cheers,
Stan H.

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