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

• 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
  
• 8 years agoHelpfull: Yes(56) No(5)
• Let the age of Usha is 3x then Nisha is x and Asha is 25
  Also Usha 34, Nisha y, and Asha 2y.
  We know that 3x - 34 = x - 2y = 25 - 2y
  Solving above three equations we get x = 9, y = 16
  Their ages are 34, 16, 32. whose sum = 82. So after 18 years their ages will be equal to 100. So Usha age is 34 + 6 = 40
  
• 8 years agoHelpfull: Yes(6) No(0)