Question

The average age of a group of 70 students is 13 years. If 3 students whose ages are 15 years, 21 years, and _ years are replaced by 3 new students whose ages are _ years, 19 years, and 29 years, then the new average age of the group increases by 0.35 years. The values given in which of the following options will fill the blanks in the same order to make the above statement true:
I. 27, 38
II. 33, 44
III. 20, 30

Q: Answer-The average age of a group of 70 students is 13 years. If 3 students whose ages are 15 years, 21 yea...

Since the new average increases by 0.35 years, the difference in the sum of ages of the students who left and the new students should be 700.3524.5 years Option I 38192915212723 years So, option I cannot be the answer. Option II 44192915213323 years So, option II cannot be the answer. Option III 30192915212022 years So, option III cannot be the answer.