Question

if 2 added to the numerator of a fraction ,it reduce to(1/2)and if1 is substracted from the denominator ,it reduces to(1/3).find the fraction?​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

This is your answer

Step-by-step explanation:

If 2 is added to the numerator of a fraction, it reduces to

2

1

and if 1 is subtracted from denominator, it reduces to

3

1

. Find the fraction.

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ANSWER

Let the numerator be x and the denominator be y.

From the given information, we have,

y

x+2

=

2

1

and

y−1

x

=

3

1

or,

y

x+2

=

2

1

=>2(x+2)=y

=>y=2x+4....(i)

Also,

y−1

x

=

3

1

=>3x=y−1....(ii)

Using substitution method,

Substituting equation (i) in equation (ii), we get,

3x=2x+4−1

=>x=3

Substituting x=3 in equation (i), we get,

y=2x+4

=>y=2(3)+4

=>y=6+4

=>y=10

Thus, the original fraction is

y

x

=

10

3