Question 831407
one year ago the ratio of varun and veena's age's was 4:5.one year hence,the ratio of their ages will be 5:6.present age of veena is?

let Varun,s age be x and veena,s age be y

{{{(x-1)/(y-1) = 4/5}}}


{{{(x+1)/(y+1)= 5/6}}}



{{{(x-1)/(y-1) = 4/5}}}


5(x-1)=4(y-1)

5x-5=4y-4
5x-4y=1.....................(1)

{{{(x+1)/(y+1)= 5/6}}}

6(x+1)=5(y+1)

6x+6=5y+5

6x-5y=-1..............(2)

x= 	Varun's present age							
y=	Veena's present age							
 								
5	x		-4	y	=	1	.............1	
Total value								
6	x		-5	y	=	-1	.............2	
Eliminate	y							
multiply (1)by		5						
Multiply (2) by		-4						
25	x		-20	y	=	5		
-24	x	+	20	y	=	4		
Add the two equations								
1	x				=	9		
/	1							
x	=	9						
plug value of			x	in (1)				
5	x		-4	y	=	1		
45			-4	y	=	1		
			-4	y	=	1		-45
			-4	y	=	-44		
				y	=	11		
x=	9		Varun's present age					
y=	11		Veena's present age					
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