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Question
If 5A + B3 = 65, then the value of A and B is ______.
Options
A = 2, B = 3
A = 3, B = 2
A = 2, B = 1
A = 1, B = 2
MCQ
Fill in the Blanks
Solution
If 5A + B3 = 65, then the value of A and B is A = 2, B = 1.
Explanation:
We have, `(5A + B3)/65`
Evidently, A + 3 is a number taking values from 3 to 12. So, either A + 3 is 5 or it is a two-digit number whose unit digit is 5. But, A + 3 is less than or equal to 12.
∴ A + 3 = 5 ⇒ A = 2
In the tens column, we have 5 + B = 6 ⇒ B = 1
Hence, A = 2 and B = 1
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