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Question Number 43395 by Tawa1 last updated on 10/Sep/18

Commented by MrW3 last updated on 10/Sep/18

$$e.g.$$$$M=N=999.\stackrel{\mathrm{\_}}{9}$$

Commented by Tawa1 last updated on 10/Sep/18

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

Answered by ajfour last updated on 10/Sep/18

$$1000\times 1000=125\times 8\times 125\times 8$$$$={\left(125\right)}^2\times 64=15625\times 64$$$$\Rightarrow (M,N)\equiv (15625,64)or(64,15625).$$

Commented by Tawa1 last updated on 10/Sep/18

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

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