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Question-53919




Question Number 53919 by byaw last updated on 27/Jan/19
Answered by $@ty@m last updated on 27/Jan/19
ATQ  6 oxen≡8 cows  ⇒1 ox≡(8/6)=(4/3) cows  ∴ 9 oxen+2 cows  =(9×(4/3)+2)cows  =14 cows  8 cows can graze in 28 days.  ⇒1 cow can graze in 28×8 days.  ⇒14 cow can graze in ((28×8)/(14)) days.  =16 days.
$${ATQ} \\ $$$$\mathrm{6}\:{oxen}\equiv\mathrm{8}\:{cows} \\ $$$$\Rightarrow\mathrm{1}\:{ox}\equiv\frac{\mathrm{8}}{\mathrm{6}}=\frac{\mathrm{4}}{\mathrm{3}}\:{cows} \\ $$$$\therefore\:\mathrm{9}\:{oxen}+\mathrm{2}\:{cows} \\ $$$$=\left(\mathrm{9}×\frac{\mathrm{4}}{\mathrm{3}}+\mathrm{2}\right){cows} \\ $$$$=\mathrm{14}\:{cows} \\ $$$$\mathrm{8}\:{cows}\:{can}\:{graze}\:{in}\:\mathrm{28}\:{days}. \\ $$$$\Rightarrow\mathrm{1}\:{cow}\:{can}\:{graze}\:{in}\:\mathrm{28}×\mathrm{8}\:{days}. \\ $$$$\Rightarrow\mathrm{14}\:{cow}\:{can}\:{graze}\:{in}\:\frac{\mathrm{28}×\mathrm{8}}{\mathrm{14}}\:{days}. \\ $$$$=\mathrm{16}\:{days}. \\ $$
Commented by byaw last updated on 27/Jan/19
Thank you very much
$$\mathrm{Thank}\:\mathrm{you}\:\mathrm{very}\:\mathrm{much} \\ $$

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