Question

Two number are in the ratio 4:5. If 30 is substracted from each number,the ratio become 1:2form the pair of linear equation and find each number.

Answer 1

Let given two numbers are ' x ' and ' y  ' , So from first condition we get 

x:y = 4:5 ,

x/y = 4/5

5 x  = 4 y                                  --- ( 1 )

And from second condition we get

(x-30) / (y-30) = 1/2

x − 30y − 30 = 1/2 ,

2 x  - 60 = y -  30 ,

2 x - y =  30                         --- ( 2 )

x= 40

y = 50