SOLUTION: A three digit number is equal to 17 times the sum of its digit  If 198 is added to the number the digits are interchanged the addition of first and third digit is 1less than middl

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: A three digit number is equal to 17 times the sum of its digit  If 198 is added to the number the digits are interchanged the addition of first and third digit is 1less than middl      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1024113: A three digit number is equal to 17 times the sum of its digit 
If 198 is added to the number the digits are interchanged the addition of first and third digit is 1less than middle digit find the number 
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A three digit number is equal to 17 times the sum of its digit
If 198 is added to the number the digits are interchanged the addition of first and third digit is 1less than middle digit find the number
-----
Equations:
100h+10t+u = 17(h+t+u)
--------------------------
100h+10t+u + 198 = 100u+10t+h
-------------------
u = t-1
---------------------
Simplify those equations::
Substitute t-1 for u.
Solve the resulting 2-variable system for h and t; then for u.
---------------
Cheers,
Stan H.