SOLUTION: solve by using system of equations. The sum of the digits of a two digit number is 8. The value of the number is 2 less than 11 times the tens digit.Find the number. i wasnt to

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: solve by using system of equations. The sum of the digits of a two digit number is 8. The value of the number is 2 less than 11 times the tens digit.Find the number. i wasnt to      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 380466: solve by using system of equations.
The sum of the digits of a two digit number is 8. The value of the number is 2 less than 11 times the tens digit.Find the number.
i wasnt to sure how to do this one. this is what i got so far.
10x+y=10y+x*11-2 ??
please show all your work

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the digits of a two digit number is 8. The value of the number is 2 less than 11 times the tens digit.Find the number.
----
Let the original number be 10t+u
---
Equations:
t + u = 8
10t+u = 11t-2
------------------------
Simplify the 2nd equation:
t=u+2
----
Substitute into the 1st equation and for for "u":
u+2 + u = 8
2u = 6
u = 3
----
Since t=u+2, t = 5
----
Original Number: 53
========================
Cheers,
Stan H.