Question 732844
First condition
x+y+z=16................................(1)
Second condition
100x+10y+z+100z+10y+x=1049

101x+20y+101z=1049............................(2)

third condition
100x+10y+z-(100z+10y+x)=297

99x-99z=297
/99
x-z=3
x=z+3.......................................(3)

substitute x in (1) & (2)
z+3+y+z=16
y+2z=13...................(4)
101(z+3)+20y+101z=1049
101z+303+20y+101z=1049
202z+20y=1049-303
202z+20y=746..................(5)

1.00	y	+	2.00	z	=	13.00		
Total value								
20.00	y	+	202.00	z	=	746.00		
Eliminate	y							
multiply (1)by		202.00						
Multiply (2) by		-2.00						
202.00	y		404.00	z	=	2626.00		
-40.00	y		-404.00	z	=	-1492.00		
Add the two equations								
162.00	y				=	1134.00		
/	162.00							
y	=	7						
plug value of			y	in (1)				
1.00	y	+	2.00	z	=	13.00		
7.00		+	2.00	z	=	13.00		
			2.00	z	=	13.00		-7.00
			2.00	z	=	6.00		
				z	=	3	
y=7,z=3,therefore x= 6

100*6+70+3
673 is the number