Question 516740
bigger number  ----x
smaller number ----y

x-y=18..............1
2y+3x=74............2

1	x		-1	y	=	18	.............1	
3	x	+	2	y	=	74	.............2	
Eliminate y								
multiply (1)by 		2						
Multiply (2) by		1						
2	x		-2	y	=	36		
3	x		2	y	=	74		
Add the two equations								
5	x				=	110		
/	5							
x	=	22      			
plug value of 			x	in (1)				
1	x	+	-1	y	=	18		
22		+	-1	y	=	18		
			-1	y	=	18		-22
			-1	y	=	-4		
				y	=	4