Question

Hi! Good evening :yawn:

To send a private message, Alan encodes it by rearranging the letters.

To do so, he first writes the word across two rows, switching between the top and bottom row with each letter, as in the sample (check attachment).

He then reads the message across each row, starting with the top one and then moving to the bottom. In this case, the word "SAMPLE" would become "SMLAPE" once it is encoded.

Alan sends the message "ATRNLEIG."
What was his original word?

All the best! :D
Have fun xD ​

Answer 1

Thanks! for brain check Saurabh♡ :D

Let us solve your problem together in a easy way ;)

$\rule{100}2$

$\underline{\bigstar\:\textsf{According \: to \: given \: in \: question:}}$

As, given in question Alan reads the encoded message SAMPLE as SMLAPE.To read the original word we have to read in a cross - path,one alphabet from upper row and then the next alphabet from bottom row.If we read the encoded message in this way, then we get the original word.

$\underline{\bigstar\:\textsf{Let's \: head \: to \; question \: now:}}$

Here, the encoded message is "ATRNLEIG".If we start arranging this code.[Refer to attached picture].Then we easily get that first four alphabets are of upper row and last four alphabets of bottom row(i.e. ATRN : Upper row LEIG : bottom row).Let us gave them, a digit and arrange according to it.

$\begin{tabular}{|c | c | c |}\cline{1-2}</p><p>\bf{Alphabet} & \bf{Given Number}\\ \cline{1-2}\sf{A} & \sf{1} \\ \cline{1-2}\sf{T} & \sf{2} \\ \cline{1-2}\sf{R} & \sf{3} \\ \cline{1-2}\sf{N} & \sf{4} \\\cline{1-2}\sf{L} & \sf{5} \\ \cline{1-2}\sf{E} & \sf{6} \\ \cline{1-2}\sf{I} & \sf{7} \\ \cline{1-2}\sf{G} & \sf{8} \\ \cline{1-2} \end{tabular}$

To get the original word,according to the method or trick used by Alan, arrange the code in a sequence {i.e - 15263748 = AlTERING}.

After arranging in a right code we get "ALTERING" as,correct word.

$\Large\hookrightarrow{\underline{\boxed{\sf \green{ALTERING}}}}$

Answer 2

Explanation:

As, given in question Alan reads the encoded message SAMPLE as SMLAPE.To read the original word we have to read in a cross - path,one alphabet from upper row and then the next alphabet from bottom row.If we read the encoded message in this way, then we get the original word.

★Let’s head to question now:

Here, the encoded message is "ATRNLEIG".If we start arranging this code.[Refer to attached picture].Then we easily get that first four alphabets are of upper row and last four alphabets of bottom row(i.e. ATRN : Upper row LEIG : bottom row).Let us gave them, a digit and arrange according to it.

To get the original word,according to the method or trick used by Alan, arrange the code in a sequence {i.e - 15263748 = AlTERING}.

After arranging in a right code we get "ALTERING" as,correct word.