Question

the numerator of a fraction is 10 smaller then it's denominator if 5 is added to both numerator and denominator the fraction becomes 4/9 find the fraction​

Answer 1

Answer:

the answer is 9/14

Explanation:

Suppose the denominator is x,

 then the numerator is x-5, since numerator is 5 less than denominator.

And the required fraction is (x-5)/x

If we use the given scenario, when 1 is added to the numerator and denominator , the fraction becomes 2/3

Adding 1 to both numerator and denominator:

(x-5+1)/(x+1) = 2/3

or 3 (x-4) = 2(x+1)

or 3x-12 = 2x+2

or 3x-2x = 2+12    

that is x =14 and x-5 = 9

Thus the required fraction (x-5)/x = 9/14.

check: adding 1 to both numerator and denominator, we get (9+1)/(14+1) = 1015 = 2/3, which is given information.

Thus the answer is 9/14.