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Question-180582




Question Number 180582 by HeferH last updated on 14/Nov/22
Answered by mr W last updated on 14/Nov/22
Commented by mr W last updated on 14/Nov/22
A+B=A+C  ⇒B=C  A+B+E=((square)/2)  C+D=((square)/2)  ⇒A+B+E=C+D  ⇒A+E=D=((4×5)/2)=10 ✓
$${A}+{B}={A}+{C} \\ $$$$\Rightarrow{B}={C} \\ $$$${A}+{B}+{E}=\frac{{square}}{\mathrm{2}} \\ $$$${C}+{D}=\frac{{square}}{\mathrm{2}} \\ $$$$\Rightarrow{A}+{B}+{E}={C}+{D} \\ $$$$\Rightarrow{A}+{E}={D}=\frac{\mathrm{4}×\mathrm{5}}{\mathrm{2}}=\mathrm{10}\:\checkmark \\ $$

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