Question

solve word problem of quadratic equation
in acertain positive fraction the denominator is greater than the numerator by 3.if 1 is subtracted from the fraction it reduces by 1/14 find the fraciton

Answer 1

let the num be x and denom be y
then original fraction is x/y
according to question y = x + 3
x
so original fraction is = -------
x + 3

on subtracting 1 frm fraction it reduces by 1/14
x x x
so ------- - 1 = ------ - ----------
x + 3 x + 3 14(x + 3)

x -1(x + 3) x(14) - x
---------- = -----------
x + 3 14(x + 3)

x - x - 3 14x -x
-------- = ---------
x + 3 14x +42

-3 13x
------- = ----------
x + 3 14x + 42

Answer 2

cross multiplying

-3(14x + 42) = 13x (x + 3)
-42x - 126 = 13x^2 + 39x
13x^2 + 39x + 42x + 126 = 0
13x^2 + 81x + 126 = 0

solve this and you will get answer

Answer 3

@tsigma
the question says "reduces by 1/14" and not reduces to 1/14

so I guess yr working and solutions are not correct.......☺

Answer 4

Hoever if the person sending the question has made a mistake, then your solution is ok....

Answer 5

" -3(14x + 42) = 13x (x + 3)"

Ditch x+3 both sides.