Question : The average age of 15 members of a committee is increased by 4 years when two members whose ages are 60 years and 70 years are replaced by two new members. What is the average age of the new members?
Option 1: 105 years
Option 2: 80 years
Option 3: 85 years
Option 4: 95 years
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Correct Answer: 95 years
Solution : Let the average age of 15 members of a committee be $x$. The sum of ages of 15 members = $15x$ New average age = $x+4$ New sum of ages = $15(x+4) = 15x+60$ Let $y$ be the average age of 2 new members. $15x-60-70+2y = 15x+60$ $⇒2y = 60 + 60 +70$ $\therefore y = \frac{190}{2} = 95$ Hence, the correct answer is 95 years.
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Question : The average age of 5 children is 10 years. If two more children of ages 11 years and 16 years join, then what will be the new average age?
Option 1: 11 years
Option 2: 10 years
Option 3: 13 years
Option 4: 12 years
Question : The average age of six brothers is 15 years. If their father is also included, the average is increased by 7 years. Find the age of the father (in years).
Option 1: 44 years
Option 2: 77 years
Option 3: 64 years
Option 4: 60 years
Question : The average age of eight girls is y years. 5 new girls having ages (in years) given by y + 3, y – 6, y + 15, y + 8, and y + 6 join the class. What is the new average age of the class?
Option 1: (y + 2) years
Option 2: (y + 6) years
Option 3: (y + 3) years
Option 4: (y + 1) years
Question : The average age of 6 members of a family is 20 years. If the age of the servant is included, then the average age increases by 20%. What is the age of the servant?
Option 1: 52 Years
Option 2: 56 years
Option 3: 50 years
Option 4: 48 years
Question : The average age of Ram and Rahim is 10 years. The average age of Rahim and Ramesh is 15 years. The average age of Ram and Ramesh is 20 years. What is the age of the eldest of the three?
Option 1: 25 years
Option 3: 30 years
Option 4: 15 years
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