In a certain code language, 'IT' is written as '58', 'SAD' is written as '48'. What is the code for 'FISH' in that code language?
84
The problem provides examples of words coded into numbers in a specific language. We are given that 'IT' is coded as '58' and 'SAD' is coded as '48'. We need to find the code for 'FISH' using the same pattern.
Let's look at the alphabetical positions of the letters in the given words:
For 'IT', the sum of the alphabetical positions is $\text{9} + \text{20} = \text{29}$. The coded value is 58. We observe that $\text{29} \times \text{2} = \text{58}$.
For 'SAD', the sum of the alphabetical positions is $\text{19} + \text{1} + \text{4} = \text{24}$. The coded value is 48. We observe that $\text{24} \times \text{2} = \text{48}$.
It appears the pattern is to sum the alphabetical positions of the letters in the word and then multiply the sum by 2.
Now, let's apply this pattern to the word 'FISH'. First, find the alphabetical positions of the letters in 'FISH':
Next, sum the alphabetical positions of the letters in 'FISH':
Sum = $\text{6} + \text{9} + \text{19} + \text{8} = \text{42}$
Finally, multiply the sum by 2 to get the code for 'FISH':
Code for FISH = $\text{42} \times \text{2} = \text{84}$
Following the established pattern from the examples 'IT' and 'SAD', the code for 'FISH' is calculated to be 84.
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