Question

the numerator of a fraction is 4 less than its denominator. if the numerator is decreased by 2 and the denominator is increased by 1, than the fraction becomes _1_ . find the
8
fraction. ​

Answer 1

Answer:

The numerator of a fraction is 4 is less than the denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator is eight times the numerator, find the fraction.

Step-by-step explanation:

ANSWER

Let the numerator and denominator of a fraction be x and y

We are given that

y -x = 4

y + 1 = 8(x-2)

Then, the equation formed are

y x = 4.......(1)

y + 1 = 8(x 2).......(2)

To solve equation we put y = x+4 in eq(2)

(x+4) +1 = 8x -16

7x = 21

x = 21/7 =3

Putting x =3 in equation(1) we get

y =7

On solving equation (1) and (2) we get

x = 3 and y = 7

Hence, fraction is

7

3