Question

In a fraction twice the numerator is 2 more than the denominator .If 3 is added to the numerator and denominator ,the new fraction is 2÷3 .Find the original fraction.

Answer 1

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✏ THE ANSWER OF YOUR QUESTION IS.....
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Answer 2

$Here \: is \: the \: answer \: of \: your \: question$

`$\textbf{We have to find Fraction}$`

Let fraction be a/b

Now, according to question;

2a = b + 2

2a - b = 2 .......(1)

Also,

a + 3 = 2
________
b + 3 = 3

Now, cross multiply them

3 (a + 3) = 2 (b + 3)

3a + 9 = 2b + 6

3a - 2b = 6 - 9

3a - 2b = - 3 ..........(2)

Now multiple (1) by 2

4a - 2b = 4 .......(3)

Now, solve both (2) and (3) by elimination

+ 3a - 2b = - 3
+ 4a - 2b = + 4 (change signs)
_____________
- a - 0b = - 7
_____________

a = 7

Put value of a in (1)

2 (7) - b = 2

14 - b = 2

- b = 2 - 14

- b = - 12

b = + 12

`$\textbf{Answer}$`

`$\textbf{a/b = 7/12}$`