Question

find the number when added to each term of the ratio 27 :35, changes the ratio to 4 : 5
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Answer 1

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Let the number be ( k )

According to the question :

$\frac{27 + k}{35 + k} = \frac{4}{5}$

= 5( 27 + k ) = 4( 35 + k )

= 135 + 5k = 140 + 4k  

= 5k - 4k = 140 - 135

= k = 5

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Answer 2

Let the number be ( k )

According to the question :

$\frac{27 + k}{35 + k} = \frac{4}{5}$

= 5( 27 + k ) = 4( 35 + k )

= 135 + 5k = 140 + 4k  

= 5k - 4k = 140 - 135

= k = 5