Question

13. The sum of the numerator and denominator of a certain fraction is 10. If 1 is subtracted from
both the numerator and denominator, the fraction is decreased by
2
Find the fraction
​

Answer 1

Let the denominator be 'x' So the numerator will be '8-x' 

The obtained dfraction is (8−x)/x 

So according to the question, 

x+28−x+2=x8−x+354

x+210−x=x8−x+354

x+210−x−x8−x=354

By taking LCM

x(x+2)10x−x2−8x+x2−16+2x=354

x2+2x4x−16=354

By cross Multiplying,

35(4x−16)=4(x2+2x)

140x−560=4x2+8x

4x2+8x−1