What is 8 + 4 in this pattern?

Question image

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

  1. Identify the pattern in the existing equations

    Let's analyze the first three equations:

    • For $3 + 1 = 16$: The result can be seen as $3 \cdot 4 + 1 = 12 + 4 = 16$.

    • For $5 + 3 = 32$: This can be expressed as $5 \cdot 4 + 3 = 20 + 12 = 32$.

    • For $6 + 3 = 27$: The equation can be seen as $6 \cdot 4 + 3 = 24 + 3 = 27$.

  2. 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:

    $$ \text{Result} = a \cdot 4 + b $$

  3. 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:

    $$ \text{Result} = 8 \cdot 4 + 4 $$

  4. 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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