SOLUTION: I am a number with 2 more tens than ones. I have 5 more ones than hundreds.the sum of my digits is 18. What number am i

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Question 938477: I am a number with 2 more tens than ones. I have 5 more ones than hundreds.the sum of my digits is 18. What number am i
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Let h = the hundreds digit
Let t = the tens digit
Let u = the units or ones dogit

I am a number with 2 more tens than ones. 
t = u+2

I have 5 more ones than hundreds.
u = h+5

the sum of my digits is 18. 
t+h+u = 18

system%28t+=+u%2B2%2Cu=h%2B5%2Ct%2Bh%2Bu=18%29

Solve the second for h, u-5=h

Substitute (u+2) for t, and (u-5) for h, in t+h+u = 18

      (u+2) + (u-5) + u = 18
              u+2+u-5+u = 18
                   3u-3 = 18
                     3u = 21
                      u = 7

Substitute 7 for u in u-5 = h

                    7-5 = h
                      2 = h 

Substitute 7 for u in t = u+2
                      t = 7+2
                      t = 9

Answer:  [h][t][u] = 297  
                      
Edwin