Question and Answers Forum

All Questions      Topic List

None Questions

Previous in All Question      Next in All Question      

Previous in None      Next in None      

Question Number 30646 by mondodotto@gmail.com last updated on 23/Feb/18

Commented by Rasheed.Sindhi last updated on 23/Feb/18

$$\mathrm{The}\mathrm{third}\mathrm{number}\mathrm{is}108$$

Commented by mondodotto@gmail.com last updated on 23/Feb/18

$$\mathrm{please}\mathrm{share}\mathrm{your}\mathrm{solution}$$

Answered by Rasheed.Sindhi last updated on 24/Feb/18

$$\mathrm{LCM}:432=2^4\times 3^3$$$$\mathrm{GCF}:12=2^2\times 3$$$$36=2^2\times 3^2$$$$48=2^4\times 3$$$$\mathrm{X}=2^{\mathrm{m}}\times 3^{\mathrm{n}}:2⩽\mathrm{m}⩽4,1⩽\mathrm{n}⩽3$$$$\mathrm{LCM}(2^2\times 3^2,2^4\times 3,2^{\mathrm{m}}\times 3^{\mathrm{n}})=2^4\times 3^3$$$$\max (2,4,\mathrm{m})=4\Rightarrow \mathrm{m}=1,2,3,4--\mathrm{A}$$$$\max (2,1,\mathrm{n})=3\Rightarrow \mathrm{n}=3$$$$\mathrm{GCF}(2^2\times 3^2,2^4\times 3,2^{\mathrm{m}}\times 3^{\mathrm{n}})=2^2\times 3$$$$\min (2,4,\mathrm{m})=2\Rightarrow \mathrm{m}=2,3,...--\mathrm{B}$$$$\mathrm{From}\mathrm{A}\mathrm{\&}\mathrm{B}:\mathrm{m}=2,3,4$$$$\mathrm{X}=2^{2,3,4}\times 3^3$$$$\mathrm{X}=2^2\times 3^3=108$$$$\mathrm{or}$$$$\mathrm{X}=2^3\times 3^3=216$$$$\mathrm{or}$$$$\mathrm{X}=2^4\times 3^3=432$$

Commented by mondodotto@gmail.com last updated on 24/Feb/18

$$\mathrm{thank}\mathrm{you}\mathrm{sir}\mathrm{i}\mathrm{appriciate}\mathrm{this}$$

Commented by rahul 19 last updated on 24/Feb/18

$$\mathrm{appreciate}{}^{\ast }$$

Commented by Rasheed.Sindhi last updated on 24/Feb/18

tђคภк א๏ย ๒๏tђ!

Terms of Service

Privacy Policy

Contact: info@tinkutara.com