SOLUTION: If 36 is added to a certain double digit number, the result is the number with the digits reversed. The ones digit of the number is 1 more than twice the tens digit. What is the nu

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: If 36 is added to a certain double digit number, the result is the number with the digits reversed. The ones digit of the number is 1 more than twice the tens digit. What is the nu      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 855741: If 36 is added to a certain double digit number, the result is the number with the digits reversed. The ones digit of the number is 1 more than twice the tens digit. What is the number?
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Let the 10's digit be x
Then unit's digit is 2*x + 1
Number itself is 10%2Ax+%2B+2%2Ax+%2B+1+=+12%2Ax+%2B+1
Adding 36 to the number gives: 12%2Ax+%2B+1+%2B+36+=+12%2Ax+%2B+37 -- (1)
This is equal to the number with digits reversed i.e. one's digit is x and
10's digit is 2*x + 1
Value of the reversed number is 10%2A%282%2Ax+%2B+1%29+%2B+x+=+20%2Ax+%2B+10+%2B+x+=+21%2Ax+%2B+10 --(2)
Equating (1) and (2), since they both refer to the same number:

12%2Ax+%2B+37+=+21%2Ax+%2B+10
Simplifying:
9%2Ax+=+27 or x+=+3

So 10's digit is 3 and one's digit is 3*2 + 1 = 7.
The number is highlight%2837%29
Adding 36 gives 73 which is the reversed number - correct!

Hope you got it :)