Question

Group of words and their codes are given as follows:
"facing problem with health" as "blawhipnkywl", "health problem on rise" as
"grnywlbuebla" and "rise with every challenge" as "rdpnkbuegre". Select the code for
"facing challenge every day".​

Answer 1

Here I split the codes as follows:

$\displaystyle\longrightarrow\it{``facing\ problem\ with\ health"}=\sf{bla\ whi\ pnk\ ywl\quad\quad\dots(1)}$

$\displaystyle\longrightarrow\it{``health\ problem\ on\ rise"}=\sf{grn\ ywl\ bue\ bla\quad\quad\dots(2)}$

$\displaystyle\longrightarrow\it{``rise\ with\ every\ challenge"}=\sf{rd\ pnk\ bue\ gre\quad\quad\dots(3)}$

From (1) and (2) we get either $\displaystyle\it{``problem"}$ and $\displaystyle\it{``health"}$ are equivalent to $\displaystyle\sf{bla}$ and $\displaystyle\sf{ywl}$ respectively or vice versa. From (1) and (3) we get $\displaystyle\it{``with"}=\sf{pnk.}$ These imply,

$\displaystyle\longrightarrow\it{``facing"}=\sf{whi}$

From (2) and (3) we get $\displaystyle\it{``rise"}=\sf{bue.}$ Thus we get either $\displaystyle\it{``every"}$ and $\displaystyle\it{``challenge"}$ are equivalent to $\displaystyle\sf{rd}$ and $\displaystyle\sf{gre}$ respectively or vice versa.

However, the code for $\displaystyle\it{``facing\ challenge\ every\ day"}$ should include $\displaystyle\sf{whi,\ rd}$ and $\displaystyle\sf{gre.}$ The code for $\displaystyle\it{``day"}$ can't be obtained from the three statements so I use an underscore for it.

Well, the 24 possible codes for $\displaystyle\it{``facing\ challenge\ every\ day"}$ are listed below.

$\displaystyle\sf{whirdgre\underline{\quad}\quad\quad\quad whird\underline{\quad}gre\quad\quad\quad whigrerd\underline{\quad}\quad\quad\quad whigre\underline{\quad}rd}$

$\displaystyle\sf{whi\underline{\quad}rdgre\quad\quad\quad whi\underline{\quad}grerd\quad\quad\quad rdwhigre\underline{\quad}\quad\quad\quad rdwhi\underline{\quad}gre}$

$\displaystyle\sf{rdgrewhi\underline{\quad}\quad\quad\quad rdgre\underline{\quad}whi\quad\quad\quad rd\underline{\quad}whigre\quad\quad\quad rd\underline{\quad}grewhi}$

$\displaystyle\sf{grewhird\underline{\quad}\quad\quad\quad grewhi\underline{\quad}rd\quad\quad\quad grerdwhi\underline{\quad}\quad\quad\quad grerd\underline{\quad}whi}$

$\displaystyle\sf{gre\underline{\quad}whird\quad\quad\quad gre\underline{\quad}rdwhi\quad\quad\quad\underline{\quad}whirdgre\quad\quad\quad\underline{\quad}whigrerd}$

$\displaystyle\sf{\underline{\quad}rdwhigre\quad\quad\quad\underline{\quad}rdgrewhi\quad\quad\quad\underline{\quad}grewhird\quad\quad\quad\underline{\quad}grerdwhi}$

Answer 2

The code for "facing challenge every day" is "blareueg"

Given

"facing problem with health" as "bla whi pnk ywl",

"health problem on rise" as "grn ywl bue bla" and

"rise with every challenge" as "rdp nkb ueg re".

The code for  "facing challenge every day" is "bla re ueg"