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Playing with Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSPlaying with Numbers3 Marks
Question
$\underline{\ \ \ \ \ 1\ \ \text{B} \ \ \text{A}\\\text{+}\ \ \text{A}\ \text{B} \ \ \text{A}\ }\\\underline{\ \ \ \ 8\ \ \ \text{A}\ \ \ 2\ }$
✓

Answer

Here, $A + A$ is a number whose one’s digit is $2,$
therefore $A = 6$
Now,$ B + B + 1 = B$
So, the possible value of $B$ is $9$. Again,
in third column $A + 1 + 1 = 8 A = 6$, which is true.
Hence, $A = 6$ and $B = 9$

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