Question
If $\ \ \ \ \text{A}\ \ \ \ \text{B}\\\ \ \ \ \underline{{\times}\ \ \ \ \text{B}}\\\ \ \ \ 9\ \ \ \ \ 6$ then $A =$ _______ and $B =$ _______ .

Answer

If $\ \ \ \ \text{A}\ \ \ \ \text{B}\\\ \ \ \ \underline{{\times}\ \ \ \ \text{B}}\\\ \ \ \ 9\ \ \ \ \ 6$ then $A = 2$ and $B = 4.$
Solution:
Here, $B \times B = 6,$
 therefore $B$ can take values either $4$ or $6.$
 For $B = 4, A \times B + 1 = 9 A \times 4 + 1 = 9$
​​​​​​​$A = 2$ Hence, $A = 2, B = 4$

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