The numerator of a certain fraction is 5 times the denominat

The numerator of a certain fraction is 5 times the denominator. If 6 is added to both the numerator and the denominator, the resulting fraction is equivalent to 2

What was the original fraction (not written in lowest terms)?

Solution

Let numerator be x , and denomnatir be y

x = 5y -----(1)

(x+6)/(y +6) = 2 ----(2)

Solve the two equations to get the original frcation x/y

So, equation 2: x+6 = 2(y +6)

x -2y = 6

Now 5y -2y =6

y = 2

x = 5y =10

So, x/y = 10/2