Question

3.
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, then the denominator would be 8 times the numerator.
Find the fraction.​

Answer 1

Step-by-step explanation:

Let the numerator be x & denominator be y

according to question

CASE 1 :

x=y−4

x=y−4..............(1)

CASE 2 :

8(x−2)=y+1

8x−y=17………...(2)

from (1)

8(y−4)−y=17

8y−32−y=17

7y=49

y=7

from (1)

x=y−4⇒3

thus

Fraction=

y

x

=

7

3

according to question fraction is of the form

14

m

⇒

7

3

×

2

2

=

14

6

⇔

14

m

∴m=6

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