Question

2/3 16. Find the fraction which becomes when numerator and denominator are increased by 1 andnumerator and denominator are diminished by 1. 1/2 when​

Answer 1

Let the fraction be yx.

The fraction becomes 21 when denominator is increased by 4.

Therefore, y+4x=21

⇒2x=y+4

2x−y=4 ....(1)

Now, the fraction is equal to81 when numerator is diminished by 5.

Therefore, yx−5=81 

⇒8x−40=y

⇒8x−y=40 ....(2)

Subtracting equations (1) and (2), we get

6x=36

⇒x=6

Putting this value in equation (1), we get

2(6)−y=4

⇒12−y=4

⇒y=8

Therefore, the fraction is 6/8

Answer 2

Answer:

Let the fraction be yx.

The fraction becomes 21 when denominator is increased by 4.

Therefore, y+4x=21

⇒2x=y+4

2x−y=4 ....(1)

Now, the fraction is equal to81 when numerator is diminished by 5.

Therefore, yx−5=81

⇒8x−40=y

⇒8x−y=40 ....(2)

Subtracting equations (1) and (2), we get

6x=36

⇒x=6

Putting this value in equation (1), we get

2(6)−y=4

⇒12−y=4

⇒y=8

Therefore, the fraction is 6/8

Step-by-step explanation: