The ratio of the present ages of Sunita and vinita is 4:5. Six years hence the ratio of their ages will be 14:17. What will be the ratio of their ages 12 years hence?
1) 15:19
2) 13:15
3) 16:19
4) 17:19
5) None of these

• present age sunita:vinita=4:5
  lets their age is 4x and 5y respectively..
  after 6 yrs their age ratio will be 14:17
  therefore (4x+6)/(5x+6)=14/17
  =>x=9
  therefore their present age is 36,45 repectvely
  after 12 yrs their age will be 48,57 respectively
  =>ratio after 12 yrs will be 48/57=16/19=16:19
  therefore ans is 3)16:19
• 13 years agoHelpfull: Yes(30) No(0)
• let 4x,5x be the present ages of sunitha and vinitha
  then after 6 years(4x+6/5x+6)=14/17
  so, x=9
  so their present ages are 36 and45
  after 12 years their ages be 48 and 57
  so answer is 16:19
• 13 years agoHelpfull: Yes(7) No(0)
• answer is 16:19
• 13 years agoHelpfull: Yes(2) No(1)
• The word to understand here is 'hence'. 'Hence' in such questions means 'after' the years mentioned.
  Let the present ages of Sunita and Vinita be 4x and 5x. Now, according to the question,
  (4x + 6)/(5x + 6 ) = 14/17
  => 68x + 102 = 70x + 84
  => 102-84 = 70x - 68x
  => 18 = 2x
  => x = 9
  Therefore, Sunita's age = 4x9 = 36 years
  Vinita's age = 5x9 = 45
  After, 12 years Sunita's age = 36+ 12 = 48 years
  12 years Vinita's age = 45+ 12 = 57 years
  And ratio of their ages = 48/57 = 16/19 or 16:19
• 9 years agoHelpfull: Yes(2) No(0)
• 4x+6/5x+6=14/17
  x=9
  4x+12/5x+12=48/57=16/19
• 9 years agoHelpfull: Yes(1) No(0)