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 of the father and add it to the age reduced by 6. Find the fraction track having capacity of 10

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Answer 1

Answer:

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Step-by-step explanation:

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

Fraction =

y

x

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 =

18

7

.

Hope you get it