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Question
Find the values of the letters in the following and give reasons for the steps involved.
2 A B
+ A B 1
---------
B 1 8
----------
Solution
The addition of B and 1 is giving 8 i.e., a number whose ones digits is 8. This is possible only when digit B is 7. In that case, the addition of B and 1 will give 8. In the next step,
A + B = 1
Clearly, A is 4.
4 + 7 = 11 and 1 will be a carry for the next step. In the next step,
1 + 2 + A = B
1 + 2 + 4 = 7
Therefore, the addition is as follows
2 4 7
+ 4 7 1
--------
7 1 8
--------
Hence, the values of A and B are 4 and 7 respectively.
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