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Question Number 11664 by Nayon last updated on 29/Mar/17

550÷11=50 And here 5^2 +5^2 +0^2 =50  find another three digit number  which is divisible by 11 and the  quotient is the sum of the    square of  the every digit of   the dividend.    /

$$\mathrm{550}\boldsymbol{\div}\mathrm{11}=\mathrm{50}\:{And}\:{here}\:\mathrm{5}^{\mathrm{2}} +\mathrm{5}^{\mathrm{2}} +\mathrm{0}^{\mathrm{2}} =\mathrm{50} \\ $$$${find}\:{another}\:{three}\:{digit}\:{number} \\ $$$${which}\:{is}\:{divisible}\:{by}\:\mathrm{11}\:{and}\:{the} \\ $$$${quotient}\:{is}\:{the}\:{sum}\:{of}\:{the}\: \\ $$$$\:{square}\:{of}\:\:{the}\:{every}\:{digit}\:{of}\: \\ $$$${the}\:{dividend}. \\ $$$$ \\ $$$$/ \\ $$

Commented by linkelly0615 last updated on 30/Mar/17

maybe.....??

$${maybe}.....?? \\ $$

Answered by Joel576 last updated on 29/Mar/17

242

$$\mathrm{242} \\ $$

Commented by mrW1 last updated on 29/Mar/17

242/11=22  2^2 +4^2 +2^2 =24≠22 !

$$\mathrm{242}/\mathrm{11}=\mathrm{22} \\ $$$$\mathrm{2}^{\mathrm{2}} +\mathrm{4}^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} =\mathrm{24}\neq\mathrm{22}\:! \\ $$

Commented by Joel576 last updated on 30/Mar/17

Oh, thank you for correction  I thought 242/11 = 24. Haha

$$\mathrm{Oh},\:\mathrm{thank}\:\mathrm{you}\:\mathrm{for}\:\mathrm{correction} \\ $$$$\mathrm{I}\:\mathrm{thought}\:\mathrm{242}/\mathrm{11}\:=\:\mathrm{24}.\:\mathrm{Haha} \\ $$

Answered by mrW1 last updated on 29/Mar/17

I think there are only 2 such numbers:  550 and 803

$${I}\:{think}\:{there}\:{are}\:{only}\:\mathrm{2}\:{such}\:{numbers}: \\ $$$$\mathrm{550}\:{and}\:\mathrm{803} \\ $$

Commented by Nayon last updated on 29/Mar/17

how did you find 803?

$${how}\:{did}\:{you}\:{find}\:\mathrm{803}? \\ $$

Commented by mrW1 last updated on 29/Mar/17

I tried one by one.

$${I}\:{tried}\:{one}\:{by}\:{one}. \\ $$

Commented by linkelly0615 last updated on 30/Mar/17

Commented by linkelly0615 last updated on 30/Mar/17

Commented by linkelly0615 last updated on 30/Mar/17

well...  only 2 roots

$${well}... \\ $$$${only}\:\mathrm{2}\:{roots} \\ $$

Commented by @ANTARES_VY last updated on 30/Mar/17

which  software.  Say  the  name  of  the...

$$\boldsymbol{\mathrm{which}}\:\:\boldsymbol{\mathrm{software}}.\:\:\boldsymbol{\mathrm{Say}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{name}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{the}}... \\ $$

Commented by linkelly0615 last updated on 30/Mar/17

It is desmos,   a free app in googleplay  or you can find it in chrome app store  as a free computer software.

$${It}\:{is}\:\boldsymbol{{desmos}},\: \\ $$$${a}\:{free}\:{app}\:{in}\:{googleplay} \\ $$$${or}\:{you}\:{can}\:{find}\:{it}\:{in}\:\boldsymbol{{chrome}}\:\boldsymbol{{app}}\:\boldsymbol{{store}} \\ $$$${as}\:{a}\:{free}\:{computer}\:{software}. \\ $$

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