SOLUTION: Three numbers are in ratio 2:3:4 and the sum of their squares is 725.find the numbers

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Question 1063620: Three numbers are in ratio 2:3:4 and the sum of their squares is 725.find the numbers
Found 2 solutions by MathTherapy, reviewermath:
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Three numbers are in ratio 2:3:4 and the sum of their squares is 725.find the numbers
Numbers: highlight_green%28matrix%281%2C4%2C+%2210%2C%22%2C+15%2C+and%2C+20%29%29

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q: Three numbers are in ratio 2:3:4 and the sum of their squares is 725.find the numbers
Tutorial:
The numbers are 2k, 3k, and 4k for some positive constant k.
The sum of their squares is equal to
%282k%29%5E2+%2B+%283k%29%5E2+%2B+%284k%29%5E2+=+725
4k%5E2+%2B+9k%5E2+%2B+16k%5E2+=+725
29k%5E2+=+725
Divide both sides by 29
k%5E2+=+725%2F29
k%5E2+=+25
Get the positive square root of both sides.
k = 5
So 2k = 10, 3k = 15, and 4k = 20.
The numbers are highlight%2810%29, highlight%2815%29, and highlight%2820%29