SOLUTION: The tens digit of a two-digit number is 1 more the twice the units digit. The number is 26 times the units digit. Find the number.

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The tens digit of a two-digit number is 1 more the twice the units digit. The number is 26 times the units digit. Find the number.      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 66161: The tens digit of a two-digit number is 1 more the twice the units digit. The number is 26 times the units digit. Find the number.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Number: 10a + b
a = 1 + 2b
and
10a + b = 26b
10(1 + 2b) = 25b
10 + 20b = 25b
10 = 5b
2 = b
Plug:
a = 1 + 2b = 1 + 4 = 5
Number: 52