Question

The numerator of a fraction is 7 less than the denominator. If 1 is added to both its
numerator and denominator, it becomes 4/7. Find the fraction.​

Answer 1

Answer:

Step-by-step explanation:

let the fraction = x/y

x + 7 = y

(x+1)/(y+1) = 4/7

7x + 7 = 4y + 4

7x - 4y = -3

4(x - y = -7)

4x - 4y = -28

-(7x - 4y = -3)

.............................

-3x = -25

x = 25/3

y = 25/3 + 7

y = 175/3

fraction is x/y

(25/3)/(175/3) = 25/175

1/7