The average age of a class of 21 students is 14years 3months.If the oldest student is not counted in,the average drops to 14years 2months.Calculate the age of the oldest student.
Answers
Given,
Average age of 21 students = 14years 3months
Average age excluding oldest student = 14years 2months
To find,
The age of the oldest student.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Average age of 21 student = 14years 3months = (12×14) months + 3 months = 168+3 = 171 months
Average age of 20 students (after excluding the oldest student) = 14 years + 2 months = 168+2 = 170 months
Total age of students including the oldest = (171×21) = 3591 months
Total age of students excluding the oldest = (170×20) = 3400 months
The age of the oldest student = (Total age of students including the oldest - Total age of students excluding the oldest) = (3591-3400) = 191 months = 15years 11months
Hence, the age of the oldest student is 15years 11months.