Show that the Crptarithm \(4\times\overline{AB} = \overline{CAB}\) do

1.	Show that the Crptarithm \(4\times\overline{AB} = \overline{CAB}\) does not have any solution.
Answer» If B is multiplied by 4 then only 0 satisfies the above condition. Hence, for unit place to satisfy the above condition, we have, B = 0. Similarly for ten’s place, only 0 satisfies. But, AB cannot be 00 as 00 is not a two digit number. So, A and B cannot be equal to 0 Hence, there is no solution satisfying the condition \(4\times\overline{AB}A = \overline{CAB}\)

Show that the Crptarithm \(4\times\overline{AB} = \overline{CAB}\) does not have any solution.

Answer»

If B is multiplied by 4 then only 0 satisfies the above condition.

Hence, for unit place to satisfy the above condition, we have, B = 0.

Similarly for ten’s place, only 0 satisfies.

But, AB cannot be 00 as 00 is not a two digit number.

So, A and B cannot be equal to 0

Hence, there is no solution satisfying the condition \(4\times\overline{AB}A = \overline{CAB}\)