Question

the ratio of two number is 2 upon 3 if 2 is subtracted from the second the ratio becomes the reciprocal of the original ratio find the numbers​

Answer 1

Answer:

x is 8 and y is12

Step-by-step explanation:

Let the no. Be x and y

x/y=2/3

3x=2y

3x-2y=0..eq1

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

2x-4=3y-24

2x-3y=-20..eq2

Now subtracting 3xeq2 from 2xeq1

6x-4y=0

- 6x+9y=60

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

5y=60

y=12

Now 3x=2y

x=2y/3 =24/3= 8

So x is 8 and y is12