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Question
Find the values of the letters in the following and give reasons for the steps involved.
1 2 A
+ 6 A B
---------
A 0 9
---------
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Solution
The addition of A and B is giving 9 i.e., a number whose ones digits is 9. The sum can be 9 only as the sum of two single digit numbers cannot be 19. Therefore, there will not be any carry in this step.
In the next step, 2 + A = 0
It is possible only when A = 8
2 + 8 = 10 and 1 will be the carry for the next step.
1 + 1 + 6 = A
Clearly, A is 8. We know that the addition of A and B is giving 9. As A is 8, therefore, B is 1.
Therefore, the addition is as follows.
128
+ 681
--------
809
--------
Hence, the values of A and B are 8 and 1 respectively.
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