Question

The denominator of a fraction is 4 more than twice the numerator. When both numerator and denominator are decresed by 6, then the denominator becomes 12 times the numerator. Find the fraction.​

Answer 1

Answer:

Let the numerator and denominator of the fraction be x and y respectively. Then,

Fraction = x/y

It is given that

Denominator =2 (Numerator) +4

⇒y=2x+4

⇒2x−y+4=0

According to the given condition, we have

y−6=12(x−6)

⇒y−6=12x−72

⇒12x−y−66=0

Thus, we have the following system of equations

2x−y+4=0 .(i)

12x−y−66=0 ..(ii)

Subtracting equation (i) from equation (ii), we get

10x−70=0

⇒x=7

Putting x=7 in equation (i), we get

14−y+4=0

⇒y=18

Hence, required fraction = 7/18.

Answer 2

Step-by-step explanation:

$\sf \purple{Given \: that}$

๑The denominator of a fraction is 4 more than twice the numerator. When both numerator and denominator are decresed by 6, then the denominator becomes 12 times the number

$\sf \purple{To \: find \: the \: fraction}$

$\sf \bold{ \red{Solution}}$

$\sf \frac{x}{( - 1)( - 66) - ( - 1)(4)} = \frac{y}{4(D) - (- 66)(2)} = \frac{1}{2(- 1) - (D)(- 1)} \\ \sf \: \frac{x}{66 + 4} = \frac{y}{48 + B2} = \frac{1}{ - 2 + D } \\ \sf \: \frac{x}{70} = \frac{y}{180} = \frac{1}{10} \\ \sf \: x = \frac{70}{10} = 7 \\ \sf \: y = \frac{180}{10} = 18 \\ \\ \sf \red{ \frac{7}{18} }$

Hope it'll help you

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