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Question-201135




Question Number 201135 by 281981 last updated on 30/Nov/23
Answered by MM42 last updated on 30/Nov/23
SX+SM=(m+n)(4a−b)  (9/5)SM=(m+n)(4a−b)  (9/5)(SP+PQ+QM)=(m+n)(4a−b)  (9/5)(((4a−b)/2))=(m+n)(4a−b)  ⇒m+n=(9/(10))  ✓  (1)
$${SX}+{SM}=\left({m}+{n}\right)\left(\mathrm{4}{a}−{b}\right) \\ $$$$\frac{\mathrm{9}}{\mathrm{5}}{SM}=\left({m}+{n}\right)\left(\mathrm{4}{a}−{b}\right) \\ $$$$\frac{\mathrm{9}}{\mathrm{5}}\left({SP}+{PQ}+{QM}\right)=\left({m}+{n}\right)\left(\mathrm{4}{a}−{b}\right) \\ $$$$\frac{\mathrm{9}}{\mathrm{5}}\left(\frac{\mathrm{4}{a}−{b}}{\mathrm{2}}\right)=\left({m}+{n}\right)\left(\mathrm{4}{a}−{b}\right) \\ $$$$\Rightarrow{m}+{n}=\frac{\mathrm{9}}{\mathrm{10}}\:\:\checkmark\:\:\left(\mathrm{1}\right) \\ $$$$ \\ $$
Commented by 281981 last updated on 01/Dec/23
tna sir
$${tna}\:{sir} \\ $$

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