SOLUTION: Please help!! I am really stuck!! The sum of the digits of a three-digit number is 11. If the digits are reversed, the new number is 46 more than 5 times the old number. If th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help!! I am really stuck!! The sum of the digits of a three-digit number is 11. If the digits are reversed, the new number is 46 more than 5 times the old number. If th      Log On


   

Question 187790: Please help!! I am really stuck!!
The sum of the digits of a three-digit number is 11. If the digits are reversed, the new number is 46 more than 5 times the old number. If the hundreds digit plus twice the tens digit is equal to the units digit, then what is the number?
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
"The sum of the digits of a three-digit number is 11." ---> h+t+u=11


"If the digits are reversed, the new number is 46 more than 5 times the old number" ---> 100u+10t+h=5(100h+10t+u)+46


"If the hundreds digit plus twice the tens digit is equal to the units digit" ---> h+2t=u


So solve system below to find number:




Post back if you can't solve.


Ans: original number is 137