Question 566540
ratio is 4:3

let the numbers be x & y  (x>y)

x/y = 4/3
3x=4y

3x-4y=0.....................(1)

(x-4)=(y+8)
x-y = 8+4

x-y=12.....................(2)



3	x		-4	y	=	0	.............1	
1	x		-1	y	=	12	.............2	
Eliminate y								
multiply (1)by 		1						
Multiply (2) by		-4						
3	x		-4	y	=	0		
-4	x		4	y	=	-48		
Add the two equations								
-1	x				=	-48		
/	-1							
x	=	48					
plug value of 			x	in (1)				
3	x	+	-4	y	=	0		
144		+	-4	y	=	0		
			-4	y	=	0		-144
			-4	y	=	-144		
				y	=	36		

The numbers are 36 & 48