SOLUTION: In a three digit number, the hundreds digit is equal to the tens digit, and is 2 more than the ones digit. The number formed by reversing the digits is 19 times the sum of the digi

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In a three digit number, the hundreds digit is equal to the tens digit, and is 2 more than the ones digit. The number formed by reversing the digits is 19 times the sum of the digi      Log On


   



Question 1021746: In a three digit number, the hundreds digit is equal to the tens digit, and is 2 more than the ones digit. The number formed by reversing the digits is 19 times the sum of the digits. Find the original number
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Original number may be something 100%2Ax%2B10%2Ax%2Bu, and understood is the hundreds and the tens digit are equal. u is for the UNITS digit.

Following the description,
system%28x=2%2Bu%2C100u%2B10x%2Bx=19%28x%2Bx%2Bu%29%29.

Tell if you have trouble solving the system of equations.