Question

The Numerator is 9

less than the
denominator.if 2 is
subtracted from both numerator
and denominator , fraction becomes 2/5.
find the fraction.
دام​

Answer 1

Answer:

Let fraction be= x/y.

1 st case

Numerator is 9  less than the  denominator.

∴x=y-9..........................(1)

2nd case

if 2 is  subtracted from both numerator  and denominator , fraction becomes 2/5.

∴(x-2)/(y-2)=2/5.

Cross multiply the above equation:

5(x-2)=2(y-2)

5x-10=2y-4

5x=2y-4+10

5x=2y+6.

Take 2 as common.

5x=2(y+3)

5x/2=y+3.......................(2)

Subtract 1 and 2.

5x/2=y+3

x=y-9

3x/2=12

3x=12×2

x=24/3

x=8.

Now, add 1 and 2.

you will get y=17.

fraction:x/y=8/17.

Thus, required fraction is 8/17.

HOPE IT HELPS :D

Answer 2

Answer: 43/4 or 10.75

Step-by-step explanation:

(9-x)-2/x-2=2/5

=-18+2x÷x-2=2/5

5(-18+2x)=2(x-2)

-90+10x=2x-4

10x-2x=90-4

8x=86

x=86/8=43/4=10.75

Hope it helps u

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