SOLUTION: The tens digit of a two-digit number is 3 more than 5 times the units digit. If the digits are reversed, the new number is 2 more than twice the tens digit of the original number.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: The tens digit of a two-digit number is 3 more than 5 times the units digit. If the digits are reversed, the new number is 2 more than twice the tens digit of the original number.       Log On


   



Question 669557: The tens digit of a two-digit number is 3 more than 5 times the units digit. If the digits are reversed, the new number is 2 more than twice the tens digit of the original number. Find the original number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let a = the 10's digit
let b = the units:
Write an equation for each statemennt
:
" The tens digit of a two-digit number is 3 more than 5 times the units digit."
a = 5b + 3
right here you know that b has to = 1 and then a = 8
81 is the number
:
You can confirm this using the 2nd statement
:
" If the digits are reversed, the new number is 2 more than twice the tens digit of the original number."


Find the original number.