Question Number 116452 by zakirullah last updated on 04/Oct/20
Answered by bobhans last updated on 04/Oct/20
$$\Rightarrow\mathrm{the}\:\mathrm{number}\:\begin{cases}{\mathrm{x}}\\{\mathrm{9x}}\end{cases}\:\Leftrightarrow\:\mathrm{9x}^{\mathrm{2}} =\mathrm{15},\mathrm{876} \\ $$$$\mathrm{x}\:=\:\sqrt{\frac{\mathrm{15},\mathrm{876}}{\mathrm{9}}}\:=\:\frac{\mathrm{126}}{\mathrm{3}}\:=\:\mathrm{42} \\ $$
Answered by nimnim last updated on 04/Oct/20
$$\mathrm{Let}\:\mathrm{x}\:\mathrm{and}\:\mathrm{9x}\:\mathrm{be}\:\mathrm{the}\:\mathrm{numbers} \\ $$$$\mathrm{then}\:\mathrm{x}×\mathrm{9x}=\mathrm{15876} \\ $$$$\Rightarrow\mathrm{9x}^{\mathrm{2}} =\mathrm{15876} \\ $$$$\Rightarrow\mathrm{x}^{\mathrm{2}} =\frac{\mathrm{15786}}{\mathrm{9}}=\mathrm{1764} \\ $$$$\Rightarrow\mathrm{x}=\sqrt{\mathrm{1764}}=\mathrm{42} \\ $$$$\Rightarrow\begin{cases}{\mathrm{smaller}\:\mathrm{number}=\mathrm{42}}\\{\mathrm{larger}\:\mathrm{number}=\mathrm{9}×\mathrm{42}=\mathrm{378}}\end{cases} \\ $$
Commented by zakirullah last updated on 04/Oct/20
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