Question

The numerator of a fraction is 6 less than its denominator if 3 is added to the numerator the fraction becomes equal to 23 find the original fraction ??? People can help me & I will mark as u brainlist ??? Thanks

Answer 1

let x/y be the original fraction

x = numerator

y = denominator

the numerator of a fraction is 6 less than the denominator

x = y - 6

if 3 is added to the numerator, the fraction is equal to 2/3

(x + 3)/y = 2/3 cross multiply

3(x + 3) = 2y

by solving the system of equations

x = y - 6

3(x + 3) = 2y

we find

x = 3

y = 9

the original fraction is 3/9.