Question

the demoniter of a rational number is greater than its numerator by 7 . if the numerator is increased by 19 and demoniter is decreased by 3, the new number becomes 4 . find the original number​

Answer 1

Answer:

1/8

Step-by-step explanation:

Let the numerator be x.

Denominator = x+7

According to Question,

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

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

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

=> x+19 = 4x+16

=> 19-16 = 4x-x

=> 3x = 3

=> x = 1

Hence, numerator = 1

Denominator = 1+7 = 8

Hence, the original fraction is 1/8.

Answer 2

Answer:

    Original Number=  1/7

Step-by-step explanation:

let numerator=(x) then denominator=(x+7)

when numerator is increased by 19=(x+19) and denominator is decreased by 3 =((x+7)-3)=(x+4) :: Given (x+19)/(x+4) =4

                            x+19=4x+16

                            3x=3

                             x=1

hence original number is  x/(x+7)= 1/7 ////