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Question-207466




Question Number 207466 by mr W last updated on 16/May/24
Answered by A5T last updated on 16/May/24
Commented by A5T last updated on 16/May/24
5+?+1+?−(3+?−1+4)=?=2sh  (5_h )−(?−1)_h =2h  (s/2)(5_h −(?−1)_h )=5−(?−1)=6−?=sh  ⇒12−2?=?⇒?=4
$$\mathrm{5}+?+\mathrm{1}+?−\left(\mathrm{3}+?−\mathrm{1}+\mathrm{4}\right)=?=\mathrm{2}{sh} \\ $$$$\left(\mathrm{5}_{{h}} \right)−\left(?−\mathrm{1}\right)_{{h}} =\mathrm{2}{h} \\ $$$$\frac{{s}}{\mathrm{2}}\left(\mathrm{5}_{{h}} −\left(?−\mathrm{1}\right)_{{h}} \right)=\mathrm{5}−\left(?−\mathrm{1}\right)=\mathrm{6}−?={sh} \\ $$$$\Rightarrow\mathrm{12}−\mathrm{2}?=?\Rightarrow?=\mathrm{4} \\ $$
Commented by mr W last updated on 16/May/24
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Answered by mr W last updated on 16/May/24
Commented by mr W last updated on 16/May/24
A+4=B+5=C+3=((hexagon)/3)  ⇒B=A−1  ⇒C=A+1  4×(A−4)=(3+A+5)−(B+4+C)  4A−16=4−A  ⇒A=4
$${A}+\mathrm{4}={B}+\mathrm{5}={C}+\mathrm{3}=\frac{{hexagon}}{\mathrm{3}} \\ $$$$\Rightarrow{B}={A}−\mathrm{1} \\ $$$$\Rightarrow{C}={A}+\mathrm{1} \\ $$$$\mathrm{4}×\left({A}−\mathrm{4}\right)=\left(\mathrm{3}+{A}+\mathrm{5}\right)−\left({B}+\mathrm{4}+{C}\right) \\ $$$$\mathrm{4}{A}−\mathrm{16}=\mathrm{4}−{A} \\ $$$$\Rightarrow{A}=\mathrm{4} \\ $$

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