SOLUTION: (T x 3^3) + (U x 3^2) + (V x 3) + W = 50 each letter in the equation above represents a digit that is less than or equal to 2 . what four-digit number does TUVW represent ?

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Question 305322: (T x 3^3) + (U x 3^2) + (V x 3) + W = 50
each letter in the equation above represents a digit that is less than or equal to 2 . what four-digit number does TUVW represent ?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28T%2A3%5E3%29++%2B+%28U%2A3%5E2%29+%2B++%28V%2A3%29+%2B+W++=+50
27T%2B9U%2B3V%2BW=50
T must be less than 2 since 2%2A27=54.
If T=1, then
27%2B9U%2B3V%2BW=50
9U%2B3V%2BW=23
If U=2, then
18%2B3V%2BW=23
3V%2BW=5
If V=1,
3%2BW=5
W=2
1212 is the solution.