Question 520055
Suresh age now = x
Kamala age now = y

6 years ago 
suresh age = x-6
Kamala age = y-6

(y-6)/(x-6)=6/5
5(y-6)=6(x-6)
5y-30=6x-36
5y-6x=-6..............1

after 4 years
suresh x+4
Kamala y+4

(y+4)/(x+4)=11/10

10(y+4)=11(x+4)
10y+40=11x+44
10y-11x=4.............2


-6	x	+	5	y	=	-6	.............1	
-11	x	+	10	y	=	4	.............2	
Eliminate y								
multiply (1)by 		-2						
Multiply (2) by		1						
12	x		-10	y	=	12		
-11	x		10	y	=	4		
Add the two equations								
x				=	16		
plug value of 			x	in (1)				
-6	x	+	5	y	=	-6		
-96		+	5	y	=	-6		
			5	y	=	-6	+	96
			5	y	=	90		
				y	=	18

suresh's age = 16 years