Question

the sum of the numerator and denominator of a fraction is 17 and adding to it to the numerator and subtraction 3 from the denominator we get the reciprocal of the fraction find the fraction​

Answer 1

Answer:

i rarely thought that it will be 5.5/11.5

Answer 2

Answer:

7/10

Step-by-step explanation:

let numerator be X and denominator be y

As per condition

▪︎x/y is the fraction

x + y = 17 ---1

▪︎x+3/y-3 = y/x

simplify it then (cross multiply)

x² + 3x = y²-3y

x²-y² = -3x - 3y

( x+y)(x-y) = -3( x + y)

x- y = -3

so X = y - 3 ---------2

Use 2 in 1

y - 3 + y = 17

2y = 20

y = 10

and on further simplification We get X = 7

therefore x= 7 and y=10