Question

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 are reduced by 6. Find the fraction.​

Answer 1

Answer:et the numerator be x.

AND denominator be (2x + 4)

fraction is x/(2x + 4)

now,

12(x - 6) = (2x + 4 - 6)

=> 12x - 72 = 2x - 2

=> 12x - 2x = -2 + 72

=> 10x = 70

=> x = 70/10

=> x = 7

AND,

DENOMINATOR be (2×7 + 4) = (14 + 4) = 18

Step-by-step explanation:

Answer 2

Let the Fraction be $\bold{\tt{\huge{\boxed{\frac{x}{y}}}}}$

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

Hence, the Fraction is $\bold{\tt{\huge{\boxed{\frac{7}{18}}}}}$