SOLUTION: find three consecutive odd integers such that 9 times the first is the same as the sum of 3 times the second and 4 times the third.

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Question 67971: find three consecutive odd integers such that 9 times the first is the same as the sum of 3 times the second and 4 times the third.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
find three consecutive odd integers
x, (x+2), (x+4)
:
such that 9 times the first is the same as the sum of 3 times the second and 4 times the third.
:
9x = 3(x+2)+4(x+4)
:
9x = 3x + 6 + 4x + 16
:
9x = 7x + 22
:
9x - 7x = 22
:
2x = 22
:
x = 11
:
:
Check: 9(11) = 3(13) + 4(15)
99 = 39 + 60