SOLUTION: The unit digit of a two-digit number is 3 and seven times the sum of the digits is the number itself. Find the number.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The unit digit of a two-digit number is 3 and seven times the sum of the digits is the number itself. Find the number.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 975053: The unit digit of a two-digit number is 3 and seven times the sum of the digits is the number itself. Find the number.
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
The unit digit of a two-digit number is 3
u = 3
and seven times the sum of the digits is the number itself.
7(t+u) = 10t+u

Substitute 3 for u:

7(t+3) = 10t+3
 7t+21 = 10t+3
   -3t = -18
     t = 6
Find the number.
The tens digit is 6 and the units digit is 3, so the number is 63.

Edwin