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 ->  Customizable Word Problem Solvers  -> Numbers -> 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

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 397591: 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 richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the digits are d and 13-d. Then,

2d = (13-d)-1 = 12-d

Solving, d = 4, 13-d = 9. If 4 is the first digit (which satisfies the statement), then the number is 49.