Question

in a rational number , twice the numerator is 2 more than the denominator . If 3 is added to each , the numinator and the denominator , the new fraction is 2/3 . Find the original numbers?​

Answer 1

Answer:

numerator= -4

denominator= 10

Answer 2

let the numerator and denomination be x and y respectively.

According to question ( ATQ)

2x = y+2

2x-y =2 .............(1)

ATQ

x+3/y+3=2/3

3(x+3)=2(y+3)

3x+9=2y+6

3x-2y= -3.............(2)

multiplication of equation(1)by 2 and then subtract from equation (2) we get,

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

SUBTRACTION

4x-2y=4

3x-2y= -3

ans >>> x=7

putting x in equation (3) we get,

28-2y=4

28-4=2y

2y=24

y=12

THEREFORE THE ORIGINAL NUMBER IS

x/y=7/12.......