Consecutive numbers (or equal gaps) with a given sum or average: find an extreme term

This type of question, asked 3 times: 18 Sep 2024 S1, 19 Sep 2024 S2, 20 Sep 2025 S1. All 3 questions below, oldest first.

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Question 1
18 Sep 2024 S1
64 $The sum of five consecutive numbers is 80. Find the largest number.$
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Question 2
19 Sep 2024 S2
73 $The sum of the ages of 6 children born at the interval of two years each is 90 years. What is the age (in years) of the eldest child?$
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Question 3
20 Sep 2025 S1
64 $The average of a group of 8 consecutive even numbers is 41. What is the sum of the smallest and largest numbers in the group?$
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Question 1