Question

the denominator of a fraction is 6 more than its numerator if 2 is added both to the numerator and denominator the fraction becomes 1/2 find the fraction​

Answer 1

x/6x +2/2 = 1/2

x+2/6x+2 =1/2

6x+2=2x+4

4x=2

x=1/2

Answer 2

ANSWER:

SOLUTION 1 -

Let the numerator be x

and denominator ve (x+6)

After adding 2,

New numeraror = (x+2)

New denominator = (x+6+2)

= (x+8)

New Fraction= 1/2

(x+2)/(x+8)= 1/2

2(x+2) = 1(x+8)

2x+4 = x+8

2x-x = 8-4

x= 4

Hence,

nunerator = x= 4

denominator = (x+6)= (4+6) = 10

Original fraction= 4/10 or 2/5

SOLUTION 2-

now,

let the numerator be x

let the denominator be (x+6)

now the fraction=x/x+6

now,

if 2 is added to both of them

= numerator = x+2

=denominator=x+6+2=x+8

and they become 1/2

ATP,

x+2/x+8=1/2

by cross multiplication .

x+8=2(x+2)

=x+8=2x+4

=x-2x=4-8

= -x= -4

x=4

now by replacing x

= x/x+6=4/10=2/5

you can do it in the either ways

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