SOLUTION: If the greatest number is twice as large as the least number. The middle number is three times more than the least number. The sum of the three numbers is 75. Find the numbers.

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Question 900540: If the greatest number is twice as large as the least number. The middle number is three times more than the least number. The sum of the three numbers is 75. Find the numbers.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x%3Cy%3Cz,

z=2x, y=3+x, x+y+z=75

The system
system%28z=2x%2Cy=x%2B3%2Cx%2By%2Bz=75%29
;
note how z and y are in terms of x.
Substitute for z and y in the summation equation and solve it for x; and use this to get the other two values in their equations.