SOLUTION: The sum of three numbers is 21. The largest number is two more than three times the smallest number. and the middle number is one more than two times the smallest number. what are
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-> SOLUTION: The sum of three numbers is 21. The largest number is two more than three times the smallest number. and the middle number is one more than two times the smallest number. what are
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Question 1019327: The sum of three numbers is 21. The largest number is two more than three times the smallest number. and the middle number is one more than two times the smallest number. what are the numbers? Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Hi there,
Make the smallest number = 'x'
Middle number = 1 + 2x
Largest number = 2 + 3x
x + (1 + 2x) + (2 + 3x) = 21
Remove brackets
x + 1 + 2x + 2 + 3x = 21
Collect like terms
x + 2x + 3x = 21 - 1 - 2
6x = 18
x = 3
Smallest number = 3
Middle number = 7
Largest number is 11
Hope this helps :-)
