If the same letters represent the same digit and different letters represent different digits, what digit does the letter A represent?
Choices
A) 1	B) 2	C) 3	D) 4	E) 5
Look at the digits in the ones place, there are 2 possible values for A + B + B:   A + B + B = A or A + B + B = 10 + A.   If A + B + B = A , B = 0. If A + B + B = 10 + A, B = 5.   Since B is a leading digit of BA, B cannot be a 0. B has to be a 5.   Look at the digits in the tens place, there are 2 possible values for 5 + A + A + 1:   5 + A + A + 1 = 10 + A or 5 + A + A + 1 = 20 + A   If 5 + A + A + 1 = 10 + A, A = 4. If 5 + A + A + 1 = 20 + A, A = 14. Since A is a single digit number, A has to be 4.   correct answer 4
<result>D</result>
If the same letters represent the same digit and different letters represent different digits, what digit does the letter A represent?