Question

the ratio of two numbers is 2/3.If 2 is subtracted from the first and 8from the second the ratio becomes the reciprocal of the original ration.Find the numbes​

Answer 1

Answer:

Let the numbers be x and y

x = 2 (x= 2 y) .................1

y 3 3

ATQ) x-2 = 3

y-8 2

2(x-2) = 3(y-8)

2x- 4 = 3y - 24

3y - 2x = 20

Put value of x from equation 1

3y - 4y = 20

3

9y - 4y = 60

5y = 60

y = 12

x = 8

Therefore numbers are 8 and 12