I've chosen a two digit number such that when I add it to the sum of its digits, the result is 50. What is my two digit number?
+781 Let a be the tens digit and b the ones digit. Then the two digit number is 10a+b. We then know that 10a+b+a+b=50. Simplifying, we get 11a+2b=50. Using guess and check, a must be 4 and b 3. Therefore the two digit number is 43.
