Question

the ratio of two numbers is 2 by 3 if 2 is subtracted from the first and 8 from the second and the ratio becomes the reciprocal of the original ratio find the numbers numbers by using simultaneous linear equation methods​

Answer 1

Let the ratio be as 2x/3x

A/Q

2x-2/3x-8=3/2

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

4x-4=9x-24

4x-9x=4-24

-5x=-20

x=-20/-5

x= 4

2x=2×4=8

3x=3×4=12