Question

When x is added to the numerator and subtracted from the denominator of the fraction a/b, where a <> b and b <> 0, the value of the fraction is changed to c/d.

Find x

Answer 1

(a+x)/(b-x) = c/d
d(a+x)=c(b-x)
ad+dx=bc-cx
(c+d)x=ad+bc
x=(ad+bc)/(c+d)

Answer 2

Did u mean that?

Answer 3

Thank you!