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Question Number 41744 by Tawa1 last updated on 12/Aug/18

Answered by MJS last updated on 12/Aug/18

if the prince is allowed to choose numbers of any length it′s very easy: X=1 Y=100 Z=10000

$$\mathrm{if}\:\mathrm{the}\:\mathrm{prince}\:\mathrm{is}\:\mathrm{allowed}\:\mathrm{to}\:\mathrm{choose}\:\mathrm{numbers}\:\mathrm{of} \\ $$$$\mathrm{any}\:\mathrm{length}\:\mathrm{it}'\mathrm{s}\:\mathrm{very}\:\mathrm{easy}: \\ $$$${X}=\mathrm{1} \\ $$$${Y}=\mathrm{100} \\ $$$${Z}=\mathrm{10000} \\ $$

Commented by Tawa1 last updated on 12/Aug/18

why 10,000 sir and please don′t forget the polynomial formulars sir.

$$\mathrm{why}\:\mathrm{10},\mathrm{000}\:\mathrm{sir}\:\mathrm{and}\:\mathrm{please}\:\mathrm{don}'\mathrm{t}\:\mathrm{forget}\:\mathrm{the}\:\mathrm{polynomial}\:\mathrm{formulars}\:\mathrm{sir}. \\ $$

Commented by MJS last updated on 12/Aug/18

let a=AB b=CD c=EF X=1 Y=100 Z=10000 aX=AB bY=CD00 cZ=EF0000 aX+bY+cZ=EFCDAB

$$\mathrm{let}\:{a}={AB}\:{b}={CD}\:{c}={EF} \\ $$$${X}=\mathrm{1}\:{Y}=\mathrm{100}\:{Z}=\mathrm{10000} \\ $$$${aX}={AB} \\ $$$${bY}={CD}\mathrm{00} \\ $$$${cZ}={EF}\mathrm{0000} \\ $$$${aX}+{bY}+{cZ}={EFCDAB} \\ $$

Commented by MJS last updated on 12/Aug/18

I′m planning to post all types of polynomial equations of 4^(th) degree I′ve been able to solve. might take a few days

$$\mathrm{I}'\mathrm{m}\:\mathrm{planning}\:\mathrm{to}\:\mathrm{post}\:\mathrm{all}\:\mathrm{types}\:\mathrm{of}\:\mathrm{polynomial} \\ $$$$\mathrm{equations}\:\mathrm{of}\:\mathrm{4}^{\mathrm{th}} \:\mathrm{degree}\:\mathrm{I}'\mathrm{ve}\:\mathrm{been}\:\mathrm{able}\:\mathrm{to}\:\mathrm{solve}. \\ $$$$\mathrm{might}\:\mathrm{take}\:\mathrm{a}\:\mathrm{few}\:\mathrm{days} \\ $$

Commented by Tawa1 last updated on 12/Aug/18

Alright sir. God bless you sir

$$\mathrm{Alright}\:\mathrm{sir}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$

Commented by Tawa1 last updated on 15/Aug/18

Sir, have been trying to understand why X = 1, Y = 100, Z = 10,000 please sir. More explanation sir

$$\mathrm{Sir},\:\mathrm{have}\:\mathrm{been}\:\mathrm{trying}\:\mathrm{to}\:\mathrm{understand}\:\mathrm{why}\:\mathrm{X}\:=\:\mathrm{1},\:\mathrm{Y}\:=\:\mathrm{100},\:\mathrm{Z}\:=\:\mathrm{10},\mathrm{000} \\ $$$$\mathrm{please}\:\mathrm{sir}.\:\mathrm{More}\:\mathrm{explanation}\:\mathrm{sir} \\ $$

Commented by MJS last updated on 15/Aug/18

just because in this case the prince will be able to read the king′s numbers i.e. king′s numbers a=7 b=34 c=89 X=1 Y=100 Z=10000 king tells 890000+3400+7=893407 prince reads 89 34 07

$$\mathrm{just}\:\mathrm{because}\:\mathrm{in}\:\mathrm{this}\:\mathrm{case}\:\mathrm{the}\:\mathrm{prince}\:\mathrm{will}\:\mathrm{be} \\ $$$$\mathrm{able}\:\mathrm{to}\:\mathrm{read}\:\mathrm{the}\:\mathrm{king}'\mathrm{s}\:\mathrm{numbers} \\ $$$$\mathrm{i}.\mathrm{e}. \\ $$$$\mathrm{king}'\mathrm{s}\:\mathrm{numbers}\:{a}=\mathrm{7}\:{b}=\mathrm{34}\:{c}=\mathrm{89} \\ $$$${X}=\mathrm{1}\:{Y}=\mathrm{100}\:{Z}=\mathrm{10000} \\ $$$$\mathrm{king}\:\mathrm{tells}\:\mathrm{890000}+\mathrm{3400}+\mathrm{7}=\mathrm{893407} \\ $$$$\mathrm{prince}\:\mathrm{reads}\:\mathrm{89}\:\mathrm{34}\:\mathrm{07} \\ $$

Commented by Tawa1 last updated on 15/Aug/18

Oh, i get. God bless you sir

$$\mathrm{Oh},\:\mathrm{i}\:\mathrm{get}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$

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