Menu Close

Author: Tinku Tara

A-two-digit-number-AB-10-AB-10-A-B-BA-10-Find-the-number-There-is-a-poem-Having-arrived-at-the-age-of-BA-10-

Question Number 203051 by ajfour last updated on 08/Jan/24 $${A}\:{two}\:{digit}\:{number}\:\:\left({AB}\right)_{\mathrm{10}} \\ $$$$\left({AB}\right)_{\mathrm{10}} −{A}^{{B}} =\left({BA}\right)_{\mathrm{10}} \\ $$$${Find}\:{the}\:{number}.\:{There}\:{is}\:{a}\:{poem}. \\ $$$${Having}\:{arrived}\:{at}\:{the}\:{age}\:{of}\:\left({BA}\right)_{\mathrm{10}} . \\ $$ Answered by Rasheed.Sindhi last…

e-2-Proof-Let-x-e-2-2-2x-e-2-2x-e-2-e-2-e-2-2ex-4x-e-2-4-4x-4-2ex-e-2-x-2-4x-4-x-2-2ex-e-2-x-2-2-x-e-2-x-2-2-x-e-2-x-2-x-e-2-e-e-2-

Question Number 203035 by Frix last updated on 07/Jan/24 $$\mathrm{e}=\mathrm{2} \\ $$$$\mathrm{Proof}: \\ $$$$\mathrm{Let}\:{x}=\frac{\mathrm{e}+\mathrm{2}}{\mathrm{2}} \\ $$$$\mathrm{2}{x}=\mathrm{e}+\mathrm{2} \\ $$$$\mathrm{2}{x}\left(\mathrm{e}−\mathrm{2}\right)=\left(\mathrm{e}+\mathrm{2}\right)\left(\mathrm{e}−\mathrm{2}\right) \\ $$$$\mathrm{2e}{x}−\mathrm{4}{x}=\mathrm{e}^{\mathrm{2}} −\mathrm{4} \\ $$$$−\mathrm{4}{x}+\mathrm{4}=−\mathrm{2e}{x}+\mathrm{e}^{\mathrm{2}} \\ $$$${x}^{\mathrm{2}}…

Question-203017

Question Number 203017 by mnjuly1970 last updated on 07/Jan/24 Answered by som(math1967) last updated on 07/Jan/24 $${let}\:{ar}\:{ofEDCF}={a}\:,\bigtriangleup{AEB}={b} \\ $$$$\frac{\bigtriangleup{ABD}}{\bigtriangleup{BCD}}=\frac{\mathrm{3}}{\mathrm{4}} \\ $$$$\frac{{Green}+{b}}{{Magenta}+{a}}=\frac{\mathrm{3}}{\mathrm{4}} \\ $$$$\frac{\bigtriangleup{ABF}}{\bigtriangleup{ACF}}=\frac{{x}}{\mathrm{6}} \\ $$$$\Rightarrow\frac{{Majenta}+{b}}{{Green}+{a}}=\frac{{x}}{\mathrm{6}}…