Math, asked by sireesha72, 1 year ago

The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?​

Answers

Answered by rosesuc21
3

Answer:

The average of ages of remaining 14 students is 19 years

Step-by-step explanation:

according to 1st given condition

average = sum of all observations / no. of observations

16 = sum of all observations / 35

16 x 35 = sum of all observations

560 = sum of all observation

∴ sum of ages of 35 students is 560 years                    i

according to 2nd given condition

average = sum of all observations / no. of observations

14 = sum of all observations / 21

14 x 21 = sum of all observations

294 = sum of all observation

∴ sum of ages of 21 students is 294 years                        ii

∴ sum of ages of remaining 14 students = 560 - 294

                                                                  = 266

average = sum of all observations / no. of observations

              = 266 / 14

              = 19

∴ the average of ages of remaining 14 students is 19 years

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