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." Can anyone help me with this??

Question 1033192: "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." Can anyone help me with this??

Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Let 3x be one number and 4x the other number.
Problem: The sum of these two numbers is to the sum of their squares the same as 7 is to 50:
(3x+4x)/((3x)^2+(4x)^2) = 7/50
7x/25x^2 = 7/50
x/25x^2 = 1/50
1/25x = 1/50
x = 1/2
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One number is 3x = 1.5
The other is 4x = 2
Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

"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." Can anyone help me with this??

Smaller number:
Larger number:
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