It is given, a+b+c=96 and a≤b≤c It is also given that age of Q is 6 years more than the age of P, i.e. b=a+6 Minimum value c can take is equal to b, i.e. a+6 a+a+6+a+6=96 3a=84 a=28 Minimum possible value of c=28+6=34 years The answer is option A.