SOLUTION: For a given two-digit positive integer, the tens digit is 5 greater than the units digit. The sum of the digits is 11. Find the integer.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: For a given two-digit positive integer, the tens digit is 5 greater than the units digit. The sum of the digits is 11. Find the integer.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 311255: For a given two-digit positive integer, the tens digit is 5 greater than
the units digit. The sum of the digits is 11. Find the integer.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Here, let x be the tens digit and y be the ones digit.
So we have
x + y = 11 and x = y + 5
We can substitute y + 5 for x in the first equation and get
(y + 5) + y = 11
2y + 5 = 11
2y = 6
y = 3 and thus
x = 8
The number is 83.