Question 1178800: In the following addition problem, each letter represents one of the digits
0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. The leading digits represented by A and B
are nonzero digits.
What digit is represented by each letter?
A
+ B B
______
A D D
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52879)   (Show Source):
You can put this solution on YOUR website! .
A
+
B B
------------
A D D
ANSWER. A = 1; B = 9; D = 0.
CHECK
1
+
9 9
------------
1 0 0
S O L U T I O N
Since "A" is the leading digit of the sum, it is clear that A = 1.
Next, since a two-digit number BB after adding the "1" becomes a three-digit number ADD,
it is clear that BB is 99. Than for the sum ADD there is only one possibility to be 100.
Solved.
Answer by Edwin McCravy(20064)  (Show Source):
You can put this solution on YOUR website!
A
+BB
----
ADD
You are adding a 1-digit number to a 2 digit number to get a 3 digit
number, so the answer ADD can only be in the hundreds. So the first digit,
A, of ADD, can only be 1. That means you could only have been adding 1. The
only 2-digit number you can add 1 to and get a 3-digit number is 99. So:
1
+99
----
100
Edwin
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