the denominator of a fraction exceeds the numerator by 7, if the numerator is increased by 3, and the denominator is increased by 5, the resulting fraction equals 1/2. Find the original fraction.

1 answer

so?

original fraction is x/(x+7)

when changed,

(x+3)/(x+7+5) = 1/2
2(x+3) = x+12
2x+6 = x+12
x = 6

original fraction is 6/13
new fraction is 9/18 = 1/2