Question

In a rational number, twice the numerator is 2 more than the denominator. If 3 is
added to each, the numerator and the denominator, the new fraction is 2/3. Find the original number.​

Answer 1

Step-by-step explanation:

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let the numerator be x

denominator = 2x-2

3 is added :-

Numerator= x+3

Denominator= 2x-2+3

=2x+1

x+3/2x+1=2/3

3(x+3)=2(2x+1)

3x+9=4x+2

3x-4x=2-9

-x=-7

x=7

Original Numerator = x = 7

Original Denominator = 2x-2

= 2(7)-2

= 14-2

= 12

Original Fraction = 7/12 ,hence proved

original correct answer

Answer 2

Answer:

7/12

Step-by-step explanation:

let numerator be X

then denominator be 2x-2

3 is added

now, A/C to qué

X+3/2x-2+3 =2/3

by cross multiplication

=3x+9=4x-4+6

=3x-4x = -4+6-9

=X= 7

fraction= 7/12

I hope it helpful to you

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