Question

8. If the numerator of a fraction is increased by 2
and denominator is decreased by 1, it
becomes 2/3. If the numerator is increased by 1
and denominator is increased by 2, it becomes 1/3

Find the fraction.​

Answer 1

Answer:

Let the fraction be

y

x

As per the given statements,

y−4

x+2

=2

⇒x+2=2y−8

⇒x−2y=−10 --- (1)

Also,

y+2

x−1

=

3

1

⇒3x−3=y+2

⇒3x−y=5 --- (2)

Multiplying eqn (2) by 2 and subtracting eqn (1) from it, we get

2(3x−y)−(x−2y)=2(5)−(−10)

⇒5x=20

⇒x=4

Substituting this value of x in eqn (2), we get

3(4)−y=5

⇒y=12−5=7

∴x=4;y=7

So, x+y=4+7=11

Step-by-step explanation:

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Answer 2

Answer:

7

Step-by-step explanation:

x-1/x+2=2/3

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

3x -3=2x+4

3x-2x=4+3

1x = 7

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