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Question-74328

Question Number 74328 by arthur.kangdani@gmail.com last updated on 22/Nov/19 Answered by ajfour last updated on 22/Nov/19 $${x}=\frac{\begin{vmatrix}{\mathrm{10}}&{\mathrm{2}}&{\mathrm{4}}\\{\mathrm{4}}&{\mathrm{10}}&{\mathrm{7}}\\{\mathrm{9}}&{\mathrm{5}}&{\mathrm{16}}\end{vmatrix}_{} }{\begin{vmatrix}{\mathrm{6}}&{\mathrm{2}}&{\mathrm{4}}\\{\mathrm{9}}&{\mathrm{10}}&{\mathrm{7}}\\{\mathrm{12}}&{\mathrm{5}}&{\mathrm{16}}\end{vmatrix}^{} } \\ $$$$\Rightarrow\:\:{x}=\frac{\mathrm{10}\left(\mathrm{160}−\mathrm{35}\right)−\mathrm{2}\left(\mathrm{64}−\mathrm{63}\right)+\mathrm{4}\left(\mathrm{20}−\mathrm{90}\right)}{\mathrm{6}\left(\mathrm{160}−\mathrm{35}\right)−\mathrm{2}\left(\mathrm{144}−\mathrm{84}\right)+\mathrm{4}\left(\mathrm{45}−\mathrm{120}\right)} \\ $$$$\:\:\:\:\:{x}=\frac{\mathrm{1250}−\mathrm{2}−\mathrm{280}}{\mathrm{750}−\mathrm{120}−\mathrm{300}}\:=\:\frac{\mathrm{968}}{\mathrm{330}}\:=\:\frac{\mathrm{88}}{\mathrm{30}} \\ $$$$…..…

Question-74284

Question Number 74284 by arthur.kangdani@gmail.com last updated on 21/Nov/19 Commented by mr W last updated on 21/Nov/19 $${a}_{\mathrm{2}} =\mathrm{4} \\ $$$${a}_{\mathrm{21}} =\mathrm{99} \\ $$$$\Sigma=\frac{\left(\mathrm{4}+\mathrm{99}\right)×\mathrm{20}}{\mathrm{2}}=\mathrm{1030} \\…

Question-74214

Question Number 74214 by rajesh4661kumar@gmail.com last updated on 20/Nov/19 Answered by mr W last updated on 20/Nov/19 $$\mathrm{9744}{k}+\mathrm{4500}\:{with}\:{k}=\mathrm{0},\:\mathrm{1},\:\mathrm{2},\:… \\ $$$${the}\:{smallest}\:{number}\:{is}\:\mathrm{4500} \\ $$ Commented by rajesh4661kumar@gmail.com…