Discussion

Explanation:

Let the first odd number be x.

∴ The numbers are: x, x + 2, x + 4, x + 6. x + 8, x + 10, x + 12 and x + 14.

Since these numbers are in Arithmetic Progression the average of these 8 numbers will be same as average of first and the last number.

∴ (x + x + 14)/2 = 36

⇒ 2x + 14 = 72

⇒ x = 29

∴ The highest number = x + 14 = 43.

Alternately,
Since consecutive odd numbers will be in Arithmetic Progression and there avereage is 36 which will also be the average of 4^th and 5^th numbers.

∴ The 4^th term will be 35 and 5^th will be 37. Now, the 6^th number will be 39, 7^th will be 41 and 8^th will be 43.

Hence, 43.

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