Question

The ratio between two numbers is 12:13 each number is reduced by 20, the ratio becomes 2:3. Find the numbers (a) 30,26 (b) 26.28 c) 24, 20 (d) 25. 27​

Answer 1

Answer: 24 , 26

let 12 : 13 = 12x : 13x

12x : 13x = 12x/13x

ATQ

12x-20/13x-20 = 2 : 3

2(13x-20) = 3(12x-20)

26x-40 = 36x-60

26x-36x = -60+40

-10x = -20

x = 20/10 = 2

first no = 12x = 12 X 2 = 24

second no is = 13x = 13 X 2 = 26