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Solution

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Let the tens digit be $x$ and the units digit be $y$.

So the number$=10x+y…(1)$

$x=2y…(2)$

After interchanging the digits we get

$10y+x$

Also,

$(10x+y)+(10y+x)=66$

$10x+y+10y+x=66$

$11y+11x=66$

$11(y+x)=66$

$y+x=1166 $

$y+x=6$

From equation $(1)x=2y$

So, $y+2y=6$

$3y=6$

$y=36 $

$y=2$

And $x=2(2)=4$

Substitute in $(1)$

We get,

Number$=10x+y=10(4)+2$

Hence the number is $42$.

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