When Usha was thrice as old as Misha,her sister Asha was 25. When misha was half as old as Asha, then her sister Usha was 34. Their ages add to 100. How old is Usha?


a) 37
b) 43
c) 40
d) 44

• Answer : c
  
  Explanation :
  Asha=25 Nisha =n Usha =3n
  
  Asha=2a Nisha =a Usha =34
  The difference of all ages must be same
  => 25-2a=n-a=3n-34
  
  We will get two equation
  
  => 2n+a=34
  
  => n+a=25
  
  From the equation we will get n=9 and a=16
  
  The ages are Asha=2a=32 Nisha =16 and Usha =34
  
  Sum of the ages =100
  
  => (32+x)+(16+x)+(34+x)=100
  
  => 82+3x=100
  
  => 3x=18
  
  => x=6
  
  => Age of Usha =34+6=40
  
  Hence (c) is the correct answer.
• 8 years agoHelpfull: Yes(32) No(8)
• answer : d
  usha misha asha
  3x x 25
  34 y/2 y
  
  34 + (y/2) + y = 100
  we get y=44
  
• 8 years agoHelpfull: Yes(1) No(19)