Question

the difference of two numbers is 5 and difference of their reciprocal is 1/10 find the number

Answer 1

let the numbers be x and 10-x
1/(10-x) -1/x. =1/10
=10(x-(10-x))=x(10-x)
=20x-100=10x-x^2
=x^2 +10x-100=0
solve quadratic