Question

The ratio of rwo nos is 2÷3.If 2 is subtracted from the first and 8 from the second,the ratio becomes the reciprocal of rhe orginal ratio.find the nos

Answer 1

let the ratio constant be 'x'

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

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

4x-4= 9x-24

-5x = -24 +4

-5x = -20

x = -5x/-20

x = 4

numbers are - 8 and 12