A ratio in the simplest form is $3 : 5 .$
If its consequent is $55,$ find the antecedent.

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Solution

The given ratio is $3 : 5 .$
Ratio $=$ Antecedent : Consequent
For converting consequent to $55,$ So, multiply the given ratio by $11 .$
Ratio $= 3 : 5$
$= 3 \times 11 : 5 \times 11$
$= 33 : 55$
Hence, the required antecedent of the given fraction is $33 .$

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