Question

(m) The denominator of a fraction is 4 more than twice its numerator. Denominator
becomes 12 times the numerator, if both the numentor and the denominator
are reduced by 6. Find the fraction​

Answer 1

Answer:

✬ Fraction = 7/18 ✬

Step-by-step explanation:

Given:

Denominator of a fraction is 4 more than twice its numerator.

If both the numerator & denominator is reduced by 6 then denominator becomes 12 times the numerator.

To Find:

What is the fraction ?

Solution: Let the numerator be x and denominator be y. Therefore,

➼ y = 4 more than 2 times of x

➼ y = (4 + 2x)

Fraction = x/y

A/q

Denominator becomes 12 times the numerator after subtracting 6 from both x and y.

➟ 12(x – 6) = (y – 6)

➟ 12x – 72 = 4 + 2x – 6

➟ 12x – 2x = 4 – 6 + 72

Answer 2

✬ Fraction = 7/18 ✬

Step-by-step explanation:

Given:

Denominator of a fraction is 4 more than twice its numerator.

If both the numerator & denominator is reduced by 6 then denominator becomes 12 times the numerator.

To Find:

What is the fraction ?

Solution: Let the numerator be x and denominator be y. Therefore,

➼ y = 4 more than 2 times of x

➼ y = (4 + 2x)

Fraction = x/y

A/q

Denominator becomes 12 times the numerator after subtracting 6 from both x and y.

➟ 12(x – 6) = (y – 6)

➟ 12x – 72 = 4 + 2x – 6

➟ 12x – 2x = 4 – 6 + 72