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Question
Find the values of the letters in the following and give reasons for the steps involved.
A 1
+ 1 B
-------
B 0
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Solution
The addition of 1 and B is giving 0 i.e., a number whose ones digits is 0. This is possible only when digit B is 9. In that case, the addition of 1 and B will give 10 and thus, 1 will be the carry for the next step. In the next step,
1 + A + 1 = B
Clearly, A is 7 as 1 + 7 + 1 = 9 = B
Therefore, the addition is as follows.
7 1
+ 1 9
------
9 0
------
Hence, the values of A and B are 7 and 9 respectively.
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