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Question Number 166943 by cortano1 last updated on 03/Mar/22

Commented by blackmamba last updated on 03/Mar/22

$$ByLaddertheorem$$$$\frac{1}{x+4+5+10}+\frac{1}{10}=\frac{1}{4+10}+\frac{1}{5+10}$$$$\Rightarrow \frac{1}{x+19}=\frac{1}{14}+\frac{1}{15}-\frac{1}{10}$$$$\Rightarrow \frac{1}{x+19}=\frac{4}{105};x=\frac{29}{4}=7.25$$

Commented by Tawa11 last updated on 03/Mar/22

$$\mathrm{Great}\mathrm{sir}$$

Answered by mr W last updated on 03/Mar/22

$$\frac{x_1}{4}=\frac{x+5}{4+10}\Rightarrow x_1=\frac{4(x+5)}{4+10}$$$$\frac{x_2}{5}=\frac{x+4}{5+10}\Rightarrow x_2=\frac{5(x+4)}{5+10}$$$$x_1+x_2=x=\frac{4(x+5)}{4+10}+\frac{5(x+4)}{5+10}$$$$\Rightarrow x=\frac{29}{4}=7.25$$

Commented by Tawa11 last updated on 03/Mar/22

$$\mathrm{Great}\mathrm{sir}$$

Commented by Ari last updated on 03/Mar/22

Where are you based on creating reports sir

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