Question

The values of the digits A and B in the given multiplication are and respectively.

A B

x 6

____

2 8 8

• A. 5
• B. 3
• C. 4
• D. 8
• E. 2

Answer 1

Answer: (C), (D)

8

The value of B can be either 3 or 8 because $3\times 6=18$ and $8\times 6=48$.

If we take B = 3, we can write
$6\times A+1=28\Rightarrow 6A=28-1\Rightarrow A=\frac{27}{6}=\frac{9}{2}$

But A must be a single digit whole number, and hence we reject the possibility of B being 3.

Now, if B = 8, then
$6\times 8=48$.
$\Rightarrow 6\times A+4=28\Rightarrow 6\times 4+4=28$

So, A = 4 and B = 8