Question

The sum of two fractions is 9 1^4 their difference is 3 1^8, what are the two fractions?​

Answer 1

`6(3)/(16)~,~3(1)/(16)`

Explanation:

let the fractions be x and y,then

`x+y=9(1)/(4)=(37)/(4)=(74)/(8)\\x-y=3(1)/(8)=(25)/(8)\\adding\\2x=(74)/(8)+(25)/(8)=(99)/(8)\\x=(99)/(16)=6(3)/(16)\\again ~subtracting\\2y=(74)/(8)-(25)/(8)=(49)/(8)\\y=(49)/(16)=3(1)/(16)\\`