Question

The average age of a group of 50 students is 16 years. If 3 students whose ages are 18 years, 26 years, and _ years are replaced by 3 new students whose ages are _ years, 24 years, and 34 years, then the new average age of the group increases by 0.6 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. 26, 42
II. 40, 57
III. 21, 36

Q: Answer-The average age of a group of 50 students is 16 years. If 3 students whose ages are 18 years, 26 yea...

ATQ, Since the new average increases by 0.4 years, the difference in the sum of ages of the students who left and the new students should be 500.6 30 years Option I 422434 182626 30 years So, option I can be the answer. Option II 572434182640 31 years So, option II cannot be the answer. Option III 362434182621 29 years So, option III cannot be the answer.