Question

Solve the following daily life mathematical challenges.
1. The average age of a child in a class of 35 is 11 . The average age, including the teacher is 12. How old is the teacher? (1 marks)

2. The average weight of a kid in a group of 10 is 35 kilograms. When sonu also joined them, the average become 36 kilograms. How much does sonu weight? (2 marks)

3. The income of a merchant in 5 days is 6435 rupees, 6927 rupees, 6855 rupees, 7230 rupes and 6562 rupees. At the end of $6^{\text{th}}$ day he calculated and found that the average income of a day is 6500 rupees. What is the income on the sixth day? (2 marks)

Answer 1

1. Average age of 35 chilgren $=11$
Total age of 35 children $=35\times 11=385$
Average age of 36 including the teacher $=12$
Total age of 36 including the teacher $=36\times 12=432$
Age of the teacher $=432-385=47$

2. Average weight of $10kids=35kg$
Total weight of 10 kids $=35\times 10=350kg$
Average weight of $11kids$ including sonu $=36kg$

3.Ans: total income of the first 5 days $=6435+6927+6855+7230+6562=34009$ rupees
Average income of a day $=6500$ rupees
Total income for 6 days $=6500\times 6=39000$ rupees
Income on the sixth day $=39000-34009=4991$ rupees