Question

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

Answer 1

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




Required number is 5



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Answer 2

Hey there !

Solution :

Let the number to be added be denoted by ' x '

So according to the question we get,

27 + x / 35 + x = 4 / 5

We need to find the value of x in the question. So cross multiplying we get,

=> 5 ( 27 + x ) = 4 ( 35 + x )

=> 135 + 5x = 140 + 4x

=> 5x - 4x = 140 - 135

=> x = 5

Hence the number to be added is 5.

Hope my answer helped !