Question

If 2 is added to each of two given numbers, their ratio becomes 1:2. However, if 4 is subtracted from each of the given numbers, the ratio becomes 5:11.Find the numbers.

Answer 1

as I couldn't type, included a pic.

x,y are two numbers.

the answer is 34 & 70

Answer 2

let two no. x and y

2(x+2) =y+2
2x+4 = y+2
2x-y= -2---- first equation

11(x-4)= 5(y-4)
11x-44=5y-20
11x-5y= 24-----second equation

multiply first equation by 5

10x-5y= -10-(11x-5y=24)
-x= -34
x= 34