+140 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?
+36915 10 x + y = 45 + 10y + x and x+y = 11 or y = 11-x sub this into the first equation
10x + 11-x = 45 + 10(11-x) + x and solve for 'x'
9x + 11 = 45 +110-9x
18x = 144
x = 8 then y = 3 favorite number is 83 reversed = 38 which is 45 less than 83
