SOLUTION: The units digit is 1 more than 3 times the tens digit in a two digit number. The number represented when the digits are interchanged is 8 times the sum of the digits. Find the orig

Algebra.Com
Question 531119: The units digit is 1 more than 3 times the tens digit in a two digit number. The number represented when the digits are interchanged is 8 times the sum of the digits. Find the original number.
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
The units digit is 1 more than 3 times the tens digit in a two digit number.
The number represented when the digits are interchanged is 8 times the sum of the digits.
Find the original number.
:
Let x = the 10's digit
Let y = the units
then
10x+y = the number
:
Write an equation for each statement:
:
"The units digit is 1 more than 3 times the tens digit"
y = 3x + 1
:
"The number represented when the digits are interchanged is 8 times the sum of the digits."
10y + x = 8(x+y)
:
You should be able to solve it now

RELATED QUESTIONS

The units’ digit of a two-digit number is 2 more than 3 times the tens’ digit. When the... (answered by josmiceli)
11) The units digit of a two-digit number is one-third the tens digit. When the digits... (answered by venugopalramana)
11) The units digit of a two-digit number is one-third the tens digit. When the digits... (answered by venugopalramana)
The units digit of a two-digit number is one-third the tens digit. when the digits are... (answered by venugopalramana)
The units digit of a two-digit number is one-third the tens digit. when the digits are... (answered by venugopalramana)
The tens digit of a two-digit number is 1 more than two times the units digit. If the sum (answered by Shai)
The tens digit of a two-digit number is 1 more than four times the units digit. If the... (answered by htmentor)
The tens digit of a two-digit number is 1 more than three times the units digit. If the... (answered by math_helper)
The units digit of a two digit number is 1 less than 3 times the tens digit. If the... (answered by checkley75)