Six years ago, the ratio of the ages of Vimal and Saroj was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Saroj's age at present?

A. 18

B. 17

C. 16

D. 15

• C. 16
  
  If Present age of Vimal=x & Saroj=y ,then
  Ist Case: (x-6)/(y-6)=6/5 ,5x-6y=-6 ---(i) &
  2nd Case: (x+4)/(y+4)=11/10, 10x-11y=4 ---(ii)
  On solving (i) & (ii), x=18, y=16
  
• 10 years agoHelpfull: Yes(4) No(0)
• let their present ages be x & y
  a/q
  (x-6)/(y-6)=6/5
  => 5x-30=6y-36
  => 5x-6y=-6
  => 6y-5x=6 .... (i)
  (x+4)/(y+4)=11/10
  => 10x+40=11y+44
  => 10x-11y=4 .... (ii)
  solving (i) & (ii)
  y=16 and x=18
  hence saroj present age is 16
• 10 years agoHelpfull: Yes(0) No(0)
• let present age of vimal and saroj be v and s respectively.
  from first condition, (v-6):(s-6)=6:5
  => (v-6)/(s-6)=6/5 ---------> equation 1
  from second condition , (v+4):(s+4)=11:20
  => (v+4)/(s-6)=11/10 ---------->equation 2
  cross multiplying and simplifying both equations
  
  11s - 10v = -4
  12s - 10v = 12
  on subtracting
  -------------------------
  -s=-16
  s = 16
  so saroj present age is 16.
• 10 years agoHelpfull: Yes(0) No(0)
• lets take present ages of Vimal as V and Saroj as S
  
  From First given sentence six years ago
  
  (V-6)/(S-6)=6/5
  
  =>by cross multiplying we get
  
  6S-5V=6-----------------------------------(1)
  
  from second sentence 4 years Hence(after)
  
  (V+4)/(S+4)=11/10
  
  11S-10V=-4--------------------------(2)
  
  by sloving (1) &(2) we get S=16..
  .
  . . Age of Saroj is 16
• 10 years agoHelpfull: Yes(0) No(0)
• age of vimal=x,and saroj=y
  so according to question (x-6)/(y-6)=6/5 so,we ge 5x-6y=-6...(1)
  (x+4)/(y+4)=11/10 so we get 10x-11y=4...(.2) after solving both equation we get x=18,y=16
  ans=16
  
• 10 years agoHelpfull: Yes(0) No(0)
• C. 16
  let present age be V and S of Vimal and Saroj respectively.
  Case 1: Six years ago
  (V-6) / (S-6) = 6 / 5 => 5V - 30 = 6S - 36 ....................................( 1 )
  Case 2 : 4 year hence
  (V + 4) / (S+4) = 11 / 10 => 10V + 40 = 11S + 44 .........................................( 2 )
  
  on solving we get , S = 16
• 9 years agoHelpfull: Yes(0) No(0)