Sophie's favorite number is a two-digit number. If she reverses the digits, the result is 45 less than her favorite number. The sum of the digits in her favorite number is 11. What is Sophie's favorite number?
Sophie's favorite number is 72.
the sum of the digits in 72 is 9, not 11
its 83
83 is her favorite number
Reversing the digits we have 38
And
83 - 38 = 45