Three people at a party discover that if you multiply the ages of any two of them, the product is the year in which the third person was born. In what year (since 1900) was the party held?

• If A,B,C are ages and x is present year,then
  AB= X-C
  or
  AB+C=X...........(1)
  AC+B=X........(2)
  BC+A=X.........(3)
  subtracting (2) from (1)
  A(B-C)-(B-C)=0
  (A-1)*(B-C)=0
  
  either A=1 , or B=C
  A can not be 1.
  
  So B =C= A
  
  so ages of all 3 are equla.
  and possible answer is A=B=C= 44 years.
  X =1980
• 13 years agoHelpfull: Yes(5) No(0)
• The party was held in 1980.
  
  Age of each person was 44 years .
  They were born in 1936.
• 13 years agoHelpfull: Yes(4) No(1)