Question

The denominator of a positive fraction is one more than the square of the numerator. If the numerator is increased by 1 and the denominator is increased by 3,the value of the new fraction will be equal to 1/4??

Answer 1

I think 4/7 is the answer...The numerator is x so denominator is x+3

So after adding 7 it will be

x+7/x+3=x/x+3+1

x+7/x+3=x+x+3/x+3

x+7/x+3=2x+3/x+3

Since denominators are same. The numerators can be easily compared...

x+7=2x+3

x-2x=3-7

x=4

So Numerator is 4 and denominator is 7