Question 545799
let the two digit number be xy										
x in the ten's place & y in units place										
										
9	x  	+	13	=	10	x+	y			
9	x  		-10	x 	-	y	=	-13		
-1	x  	+	-y=	-13	-----------------------------(1)					
										
										
										
10	x+	y	=	2	(	10	y+	x)-	4	
10	x+	y	=	20	y   	+	2	x 	-	4
10	x  	-	2	x 	+	-20	y	=	-4	
8	x  	+	-19	y	=	-4	--------------(2)			
										
Solve equation (1) & (2) for x & y										
										
-1	x		-1	y	=	-13	.............1			
8	x		-19	y	=	-4	.............2			
-19	y									
multiply (1)by 		-19								
Multiply (2) by		1								
19	x		19	y	=	247				
8	x	+	-19	y	=	-4				
Add the two equations										
27	x				=	243.000				
/	27									
x	=	9								
plug value of 			x	in (1)						
-1	x	+	-1	y	=	-13				
-9		+	-1	y	=	-13				
			-1	y	=	-13	+	9		
			-1	y	=	-4				
				y	=	4				
										
The number is 94