Discussion
In a certain code language, if 987 is written as 24, 765 is written as 18, 456 is written as 15, then how will 465 be written in that code language?
Answer: D
Each number is coded as the sum of its digits.
\[ 9 + 8 + 7 = 24,\quad 7 + 6 + 5 = 18,\quad 4 + 5 + 6 = 15 \]
For 465 the digits add up to
\[ 4 + 6 + 5 = 15 \]
So 465 is written as 15. The values 12, 11 and 14 do not equal the digit sum, and the code does not depend on the order of the digits, as 456 and 465 have the same digits. The answer is 15, option D.
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