Question

if 1 is added to each of the two certain numbers their ratio is 1:2 and if 5 is subtracted from each of the two numbers the ratio becomes 5:11 find the numbers

Answer 1

2(x+1) = (y+1)

2x+2 = y+1

2x-y = -1

That's our first equation. Now for the next.

11(x-5) = 5(y-5)

11x-55 = 5y-25

11x-5y = 30

Use elimination to find the value of x.

x= 35, y=71