Question

9. A fraction becomes 4 when 1 is added to both the numerator and denominator and it becomes 7 when 1 is subtracted from both the numerator and denominator. The numerator of the given fraction is what​

Answer 1

Answer:

xy

Let the fraction be

x+1y+1=4

Therefore,

...(1)

x+1=4(y+1)

Therefore,

x−1y−1=7

Answer 2

Answer:

Let the fraction be x/y

Therefore, x+1/y+1=4 ...(1)

Therefore, x+1=4(y+1)

x−1/y−1=7 ...(2)

x−1=7(y−1)

Therefore, x−7y=6 ...(4)

x−4y=3 ...(3)

x−7y=−6 ...(4)

solving, subtracting 3y=9, y=3

put the value of y in (3), we get x−12=3, x=15

Therefore, The numerator of the given fraction is 15.

Step-by-step explanation:

Hope it will help you..