Question

10. A fraction becomes 10/7 if 2 is added to both numerator and denominator.
If however 3 is subtracted from both numerator and denominator, the fraction
becomes 5/2. What is the fraction?10. A fraction becomes 10/7 if 2 is added to both numerator and denominator.
If however 3 is subtracted from both numerator and denominator, the fraction
becomes 5/2. What is the fraction?

Answer 1

Answer: 8/5

Step-by-step explanation:

if you add 2 to both = 10/7

if you subtract 3 from both = 5/2

Answer 2

Answer:

I hope its helpful for you

Step-by-step explanation:

let the fraction will be x/y.

then ...

x+2/y+2= 10/7

7x+14=10y+20

7x_10y=6......(1)

if...

x+3/y+3=5/2

2x+6=5y+15

2x_5y=9....(2)

subtracting eq(1)and eq(2)

7x_10y=6

_

2x_5y=9

then......7x_10y=6

_

2(2x_5y=9)

7x_10y=6

_

4x_10y=18

_ +

3x= _12

×=_4

put the value of x in eq (2)....

2×(_4)_ 5y=9

_8_9=5y

_17=5y

_17/5=y

then the fraction is _4/_17/5=20/17

fraction = 20/17