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Earlier discussion
1 older comment kept for context.
Ali Benjamin
Here’s another approach to this question.
Notice that the sum of all 26 letters (A-Z) is:
1 + 2 + 3 + ... + 26 = 351 (using the formula for the sum of an arithmetic series)
Since there are 5 vowels (A, E, I, O, U), we can find the sum of all consonants by subtracting the sum of vowels from the total sum:
Sum of consonants = Total sum - Sum of vowels
= 351 - (1 + 5 + 9 + 15 + 21)
= 351 - 51
= 300 (C)