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A number is divided into two parts such that one part is six more than the other. If the two parts are in a ratio $6:5$, find the small part.
Given :
A number is divided into two parts such that one part is six more than the other.
The two parts are in the ratio of $6:5$.
To find :
We have to find the small part.
Solution :
Let the two parts be $6x$ and $5x$.
This implies,
$6x = 5x+6$
$6x-5x = 6$
$x = 6$
The two parts are $5(6)=30$ and $6(6)=36$.
The smaller part is $30$.
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