Question

he denominator of a fraction is 4 more than twice its numerator. Denominate
becomes 12 times the numerator, if both the numerator and the denominator
reduced by 6. Find the fraction.​

Answer 1

Step-by-step explanation:

let the fraction be

y

x

given y=2x+4

2x−y=−4

multiply the equation with 6

12x−6y=−24................... (1)

(y−6)=12(x−6)

12x−y=66........................(2)

subtract (1) and (2)

y=18,x=7

therefore the fraction is

18

7

Answer 2

Answer:

$\huge{\boxed{\rm{\orange{fraction=7/18}}}}$

Step-by-step explanation:

Given:-

The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator reduced by 6.

To find:-

Find the fraction.

Solution:-

Let the numerator be X

then, The denominator =4 more than twice its numerator=2X+4

both the numerator and the denominator is reduced by 6.

Then the numerator is X-6

and denominator =2X+4-6=2X-2

Now denominator becomes 12 times the numerator

=>2X-2=12(X-6)

=>2X-2=12X-72

=>-2+72=12X-2X

=>70=10X

=>10X=70

=>X=70/10

=>X=7

Numerator=7

Denominator=2(7)+4=14+4=18

Answer:-

Numerator =7

Denominator=18

Fraction=7/18

Check:-

1) Denominator=4 more than twice the numerator=2(7)+4=18

2)6 is reduced from them they becomes 1 and 12 denominator is 12 times the denominator=12×1=12