Show that the Cryptarithm does not have any solution.\(4\times\) \(\o

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

Show that the Cryptarithm does not have any solution.\(4\times\) \(\over AB\)= \(\over CAB\)

Answer»

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

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

Similarly for ten’s place, only 0 satisfies the above condition.

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

So, A and B cannot be equal to 0

∴ there is no solution satisfying the condition