What is 8 + 4 in this pattern?
Understand the Problem
The question presents a pattern involving unconventional arithmetic where the standard addition is not applied literally. Instead, it's asking to discern the pattern among the equations to determine the result of '8 + 4'.
Answer
The result of \( 8 + 4 \) is \( 36 \).
Answer for screen readers
The result of ( 8 + 4 ) is ( 36 ).
Steps to Solve
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Identify the pattern in the existing equations
Let's analyze the first three equations:
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For $3 + 1 = 16$: The result can be seen as $3 \cdot 4 + 1 = 12 + 4 = 16$.
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For $5 + 3 = 32$: This can be expressed as $5 \cdot 4 + 3 = 20 + 12 = 32$.
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For $6 + 3 = 27$: The equation can be seen as $6 \cdot 4 + 3 = 24 + 3 = 27$.
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Determine the consistent operation used in the equations
From the above, it appears that for each equation of the form $a + b$, the operation is:
$$ \text{Result} = a \cdot 4 + b $$
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Apply the identified pattern to the new equation
Now, using the identified pattern for $8 + 4$:
- Substitute $a = 8$ and $b = 4$ into our equation:
$$ \text{Result} = 8 \cdot 4 + 4 $$
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Calculate the result
- Perform the multiplication and addition:
$$ 8 \cdot 4 = 32 $$ $$ 32 + 4 = 36 $$
The result of ( 8 + 4 ) is ( 36 ).
More Information
This unconventional arithmetic involves recognizing patterns in equations rather than straightforward addition. Such puzzles often appear in reasoning tests and brain teasers to encourage lateral thinking.
Tips
- Applying standard arithmetic rules: Many may fall into the trap of summing the two numbers directly without considering the unconventional pattern.
- Overlooking patterns: It's essential to analyze multiple equations before concluding a method.
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