The sum of the two consecutive two digit odd numbers, when divided by 10 becomes a perfect square.How many such a pairs exist ?

• 79+81=160
  which when divided by 10, gives 16 , square of 4.
  
  other possible pair is
  19+21=40
  when divided by 10, gives 4 which is square of 2.
  
  so 2 pairs are possible.
  Pls note that
  In case of sum as 90, sum of two consecutive odd numbers will not give 90.
• 12 years agoHelpfull: Yes(5) No(1)
• 79+81=160
  which when divided by 10, gives 16 , square of 4.
• 12 years agoHelpfull: Yes(1) No(0)
• what is the method to solve such questions
• 12 years agoHelpfull: Yes(0) No(0)
• just a nice question to ponder on...
• 12 years agoHelpfull: Yes(0) No(0)