Math Problem Statement

The sum of two adjacent blocks gives the sum of the block above. What number would replace the question mark?

Solution

The problem you're working on states that the sum of two adjacent blocks gives the sum of the block above. Here's a step-by-step approach to solve this:

We can analyze the pyramid structure step by step, starting from the bottom:

  1. The numbers at the bottom are: 1822?304418 \quad 22 \quad ? \quad 30 \quad 44 Here, the question mark seems to be blurred out, but the pattern suggests we can solve it.

  2. Above these numbers, the next row shows: 404440 \quad 44 Since these numbers are the sum of the two adjacent blocks below, we can find the missing number by solving for the block beneath the 40: 18+22=4018 + 22 = 40 Therefore, the missing number in the bottom row is 22.

  3. Moving to the next level, we have the equation: 40+44=12240 + 44 = 122 This is consistent with the sum rule.

  4. To find the missing value at the top, we use the fact that the two blocks below the 450 sum up to it. So: 450=?+122450 = ? + 122 Solving for the question mark: ?=450122=328? = 450 - 122 = 328

Thus, the number that would replace the question mark is 328.

Let me know if you want further clarifications or details.


Here are 5 related questions that might expand your understanding:

  1. How would the structure change if the base numbers were altered?
  2. Can you create your own pyramid with a similar rule using different numbers?
  3. What happens if the sum rule changes to a product rule?
  4. How would you verify if the entire pyramid is correct?
  5. How can this method be applied to larger pyramids?

Tip: When solving pyramidal sum puzzles, always work from the bottom up, checking each level's consistency as you go!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Pyramid Sum Puzzles
Addition

Formulas

Sum of two adjacent blocks equals the block above

Theorems

Basic arithmetic properties

Suitable Grade Level

Grades 5-7