Question

Multiplying 4 and the number 'AA', we get the result as 2A4. The value of A is .

Answer 1

Here, we can follow two approaches :
Multiplying 4 by AA, we can have different A values as:
$4\times 11=44$
$4\times 22=88$
$4\times 33=132$
$4\times 44=176$
$4\times 55=210$
$4\times 66=264$
Therefore, we take
$4\times 66=264$
$\therefore$ The value of A is 6.
Second approach is to write the given expression in expanded form :
4 x AA = 2A4
4 x (10A +A) = 200 + 10A +4
40A + 4A = 200 +10A +4
34A = 204
A = 6