Question

Ratio is 7/9 if increment of 14 takes place in numerator find increment in denomination

Answer 1

SOLUTION

GIVEN

• Ratio is 7/9

• Increment of 14 takes place in numerator

TO DETERMINE

The increment in denominator

EVALUATION

Here the given ratio is

$\displaystyle \sf{ \frac{7}{9} }$

Now Increment of 14 takes place in numerator

So the ratio becomes

$= \displaystyle \sf{ \frac{7 + 14}{9} }$

$= \displaystyle \sf{ \frac{21}{9} }$

Let x be the increment in denominator

Then the ratio becomes

$\displaystyle \sf{ \frac{21}{9 + x} }$

So by the given condition

$\displaystyle \sf{ \frac{21}{9 + x} = \frac{7}{9} }$

$\implies \: \displaystyle \sf{ 63 + 7x = 189 }$

$\implies \: \displaystyle \sf{ 7x = 189 - 63 }$

$\implies \: \displaystyle \sf{ 7x = 126 }$

$\implies \: \displaystyle \sf{ x = 18 }$

Hence the increment in denominator = 18

FINAL ANSWER

The increment in denominator = 18

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