Question

what is ans of this question with explanation

I want explanation ​

Answer 1

Answer: 6/17

Step-by-step explanation:

let the fraction be x/y

then, acc to the ques:

x+3/y-5= 3/4-----------------(1)

and x+1/ y-3= 1/2------------(2)

now, on solving the equations 1 and 2

we get:

4x+12=3y-15

2x+2=y-3

x=6

y=17

therefore the original fraction=6/17

hope it helps... :)

Answer 2

Let the numerator and denominator be x and y respectively,

So,

According to the question,

==> 3 is added in numerator and 5 is subtracted from the denominator , the fraction we get is 3/4

==> x + 3 / y - 5 = 3/4

==> 4(x + 3) = 3(y - 5)

==> 4x + 12 = 3y - 15

==> 4x - 3y = -27 ...(1)

Also,

==> 1 is added in numerator and 3 is subtracted from the denominator, we get 1/2

==> x + 1 / y - 3 = 1/2

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

==> 2x + 2 = y - 3

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

Multiply (2) by 2

==> 4x - 2y = -10 ...(3)

Subtract (1) and (3)

==> 4x - 3y - 4x + 2y = -27 - (- 10)

==> -y = -17

==> y = 17

Putting y = 17 in (2)

==> 2x - 17 = -5

==> 2x = 17 - 5

==> 2x = 12

==> x = 6

Original fraction = x/y

==> 6 / 17

Fraction = 6/17