Question 1179664
x units
y ten's
value of number 10y+x
The difference between the digits of a two-digit number is 1.
y-x=1 -----------------(1)

 The number itself is 1 more than 5 times the sum of its digits. If the units digit is greater than the tens digit, find the number.

10x+y =5(x+y)+1
10x+y = 5x+5y+1
5x-4y=1--------------------(2)

	x	ten's digit							
	y	units digit							
									
									
-1	x	+	1	y	=	1			
									
									
5	x	+	-4	y	=	1	.............2		
Eliminate 	y								
multiply (1)by		4							
Multiply (2) by		1							
-4	x		4	y	=	4			
5	x		-4	y	=	1			
Add the two equations									
1	x				=	5			
/	1								
x	=	5							
plug value of			x	in (1)					
-1	x	+	1	y	=	1			
-5		+	1	y	=	1			
			1	y	=	6			
				y	=	6			
Ans	x	=	5						
	y	=	6						
	5	ten's digit							
	6	units digit