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Question Number 95986 by mpym last updated on 29/May/20

$$\mathrm{In}\mathrm{a}\mathrm{set}\mathrm{of}3\mathrm{consecutive}\mathrm{natural}\mathrm{numbers}$$$$\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{the}\mathrm{last}2\mathrm{numbers}\mathrm{is}\mathrm{equal}$$$$\mathrm{to}3\mathrm{times}\mathrm{the}\mathrm{first}\mathrm{numbers}.\mathrm{Find}\mathrm{the}$$$$\mathrm{sum}\mathrm{of}\mathrm{all}\mathrm{the}\mathrm{three}\mathrm{numbers}.$$

Commented by mr W last updated on 29/May/20

$$n-1,n,n+1$$$$n+(n+1)=3(n-1)$$$$\Rightarrow n=4$$$$\mathrm{\Sigma }=3+4+5=12$$

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