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??
Algebra ->
Percentage-and-ratio-word-problems
-> 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??
Log On
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??
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
----------
One number is 3x = 1.5
The other is 4x = 2
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??