Question

19. The numerator of a fraction is five less than the
denominator. Also, four times the numerator is one
more than the denominator. Find the fraction.​

Answer 1

Answer:

7

2

Step-by-step explanation:

Let the numerator be x

Let the denominator be y

The numerator is five less than the denominator.

⇒ x = y-5 --1

Four times the numerator is one more than the denominator.

⇒4x =y+1 --2

Substitute the value of x from 1 in 2

⇒4(y-5) =y+1

⇒4y-20=y+1

⇒3y=21

⇒y=7

So, x = y-5 = 7-5 =2

Thus the fraction = \frac{x}{y}

y

x

= \frac{2}{7}

7

2

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Answer 2

2/7

Step-by-step explanation:

2 is 5 less than the denominator

also 2 when multiplied by 4 gives 8 which is 1 more than the denominator