Question

the denominator of a rational no. is greater than its numerator by 7 . if the numerator is increased by 19 and the denominator is decreased by 3, the new number becomes 4. find the original no.

Answer 1

Hey Mate !

Here is your solution :

Let the numerator is x.

So, denominator = ( x + 7 ).

Fraction = Numerator / Denominator = x / ( x + 7 ).

A/Q,

If we add 19 to the numerator of number and subtract 3 from the denominator it becomes 4.

=> ( x + 19 ) / ( x + 7 - 3 ) = 4

=> ( x + 19 ) / ( x + 4 ) = 4

=> ( x + 19 ) = 4 ( x + 4 )

=> x + 19 = 4x + 1t

=> 19 - 16 = 4x - x

=> 3 = 3x

=> x = ( 3/3 ) = 1

Numerator = x = 1

Denominator = ( x + 7 ) = 1 + 7 = 8

Fraction = x / ( x + 7 )

= 1/8

Hence , the required answer is ( 1/8 ).

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Hope it helps !! ^_^