SOLUTION: the sum of the digits of a two-digit number is 13. twice the first digit is 1 less than the second digit. what is the two-digit number?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the sum of the digits of a two-digit number is 13. twice the first digit is 1 less than the second digit. what is the two-digit number?      Log On


   



Question 171120: the sum of the digits of a two-digit number is 13. twice the first digit is 1 less than the second digit. what is the two-digit number?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call the tens digit a and the ones digit b
:
a+b= 13...eq 1
2a=b-1....eq 2
:
lets re write eq 1 to a=13-b and take that value and plug it into eq 2
:
2(13-b)=b-1
:
26-2b=b-1
:
3b=27
:
highlight%28b=9%29
:
highlight%28a=13-9=4%29
:
number is highlight%2849%29
: