math problem in description( riddle)

Question

Brealand was given this riddle to find the password to her friends cellphone: It is a two digit number:( the sum of the digits are 11) when the number of digits are reversed , the value of Texas number increased by 9 . What is the password?

Answer 1

here's what we know:

a + b = 11 (the two digits add to make 11)

a|b + 9 = b|a (if we switch the digits, the value of the second number is 9 more than the first)

if the digits flip by adding nine, then not only are the digits close together, but the tens digit is one less. (you can test this out on others:

12 + 9 = 21; 34 + 9 = 43, etc)

 

56

5 + 6 = 11

56 + 9 = 65