Question
The average age of six members of a family is 40 years.
If the age of a guest is included, then the average age increases by 12.5%. What is the age (in years) of the guest?Solution
The average age of 6 members = 40 year total age of 6 members = 40Ă6 = 240years A guest included then the average age = 40 Ă 112.5/100 =45years The total age of (6+1) member= 45 Ă7 =315years now age of guest  = 315-240= 75 years
The minimum value of 25 sin2 θ + 16 cos2 θ is
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