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Question Number 205045 by cortano12 last updated on 06/Mar/24

$$\underbrace{\underset{―}{}}$$

Commented by Rasheed.Sindhi last updated on 06/Mar/24

$$7\mid rhsbut7\nmid 450$$$$hencepositiveintegerx,y{don}^{\prime }t$$$$exist.$$

Commented by cortano12 last updated on 06/Mar/24

$$\mathrm{how}\mathrm{about}\mathrm{if}2\mathrm{x}+3\mathrm{y}=450$$$${(\mathrm{x}+\mathrm{y})}_{\max }\mathrm{for}\mathrm{x},\mathrm{y}\in {\mathrm{Z}}^{+}$$

Commented by Rasheed.Sindhi last updated on 06/Mar/24

$${(\mathrm{x}+\mathrm{y})}_{\max }=222+2=224$$

Commented by A5T last updated on 06/Mar/24

$$x=\frac{450-3y}{2}$$$$\Rightarrow x+y=\frac{450-3y}{2}+y=\frac{450-y}{2}=225-\frac{y}{2}⩽224$$$$Equalitywheny=2,x=222$$

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