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Question Number 192856 by universe last updated on 29/May/23

$$ifa+b+c+d=63anda,b,c,d\in \mathbb{N}find$$$$themaximumvalueofab+bc+cd=?$$

Answered by Frix last updated on 29/May/23

$$32+31+0+0=63$$$$32\times 31=992$$

Commented by Frix last updated on 30/May/23

$$\mathrm{Some}\mathrm{define}$$$$\mathbb{N}=\{0,1,2,3,...\}\mathrm{and}{\mathbb{N}}^{★}=\mathbb{N}\mathrm{\setminus }\left\{0\right\}$$$$\mathrm{others}$$$$\mathbb{N}=\{1,2,3,4,...\}\mathrm{and}{\mathbb{N}}_0=\mathbb{N}\cup \left\{0\right\}$$$$\mathrm{It}\mathrm{had}\mathrm{been}\mathrm{dicussed}\mathrm{here}\mathrm{several}\mathrm{times}$$$$\mathrm{before}.$$

Commented by Frix last updated on 30/May/23

$$\mathrm{Yes}.$$

Answered by nikif99 last updated on 30/May/23

$$if{\mathbb{N}}^{\ast }then(a,b,c,d)=(1,31,30,1)or$$$$(1,30,31,1),withmax=991.$$

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