Ajayan is ten years older than Vijayan.Next year,Ajayan's age would be double that of Vijayan.What are their age now?

Heya !!!



Let present age of vijayan be X years



Age of ajayan = ( X + 10) years




After 1 year age of vijay = ( X + 1) years


After 1 year age of Ajay = ( X + 10+1) =X + 11




According to question,




Age of Ajay after 1 year = 2 ( Age of vijay after 1 year)





=> X + 11 = 2 ( X + 1)




=> X + 11 = 2X + 2




=> 2X - X = 11 - 2





=> X = 9 years





Age of ajay = X = 9 years




And,



Age of vijay = X + 10 = 9+10 = 19 years