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x is the smaller part. Let y be the bigger part.

$⇒y_{2}+x_{2}=20$

$y_{2}=8x$ [so, $x>0$ …………$(1)$]

$⇒x_{2}+8x=20$

$⇒x=2;x=−10$

So, $x=2$ (from $(1)$)

$y_{2}=8x=16$

$⇒y=4$ $[∵x+y$ is positive$]$

So, number$=x+y=2+4=6$.

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