Ben is now three times as old as his brother Sam. In five years Ben Will be twice as old as Sam will be then. Find their present ages.?

Let Ben's current age be ( B ) and Sam's age be ( S ). According to the problem, we have the equations: ( B = 3S ) and ( B + 5 = 2(S + 5) ). Substituting the first equation into the second gives ( 3S + 5 = 2(S + 5) ). Solving this leads to ( 3S + 5 = 2S + 10 ), which simplifies to ( S = 5 ) and ( B = 15 ). Thus, Ben is currently 15 years old and Sam is 5 years old.