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

• (u-t1)=3(m-t1) & (a-t1)=25 => u-3m+2a=50 -----------(1)
  
  (m-t2)=(a-t2)/2 & (u-t2)=34 => -u+2m-a=-34 -----------(2)
  
  given u+m+a=100-------------------(3)
  
  from (1),(2) &(3)
  u=40 ans
  
• 9 years agoHelpfull: Yes(18) No(3)
• given usha age is 3x when misha is x .... Asha is 25
  Usha is 34......and Misha is y when asha is 2y
  compare individually 3x-34=x-y=25-2y
  by solving above equations we get x=9;y=16
  ages are 34,16,32
  sum=34+16+32=82
  given there sum is 100 which is short 18 years
  add each 6 years we get usha age 40
• 9 years agoHelpfull: Yes(14) No(8)
• Explain how u do?
• 9 years agoHelpfull: Yes(2) No(1)
• how rohit shaw
  
• 9 years agoHelpfull: Yes(1) No(1)
• It will be 44 years
• 9 years agoHelpfull: Yes(0) No(6)
• Kishor's answer is correct.
• 9 years agoHelpfull: Yes(0) No(0)
• what is t1 and t2
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• kishr eloberate how equations 1,2 obtained from the condition
• 9 years agoHelpfull: Yes(0) No(1)
• t1 & t2 are before time.
  I assume both positive(after time) or negative(before time) value for t1 & t2, the and is same i.e 40.
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• pls explain clearly???
• 8 years agoHelpfull: Yes(0) No(0)