Math Problem Statement
Solution
To solve the pyramid, we note that each brick is the sum of the two bricks below it. The base of the pyramid is given as , , and . Let's compute step by step.
Step 1: The middle brick in the second row
The middle brick in the second row is the sum of the first two bricks in the bottom row:
Step 2: The right brick in the second row
The right brick in the second row is the sum of the last two bricks in the bottom row:
Step 3: The top brick
The top brick is the sum of the two bricks in the second row:
We are told the top brick is equal to 24. Therefore, we set up the equation:
Step 4: Solve for
Divide both sides of the equation by 8:
Final Answer:
The value of is 3.
Would you like further clarification or details? Here are 5 related questions to explore:
- How would the solution change if the top brick had a different value, like 30?
- Can we generalize the solution for any given values in the base row?
- What are the values of all the bricks in this specific pyramid?
- How does the pyramid structure relate to other number sequences, like Pascal's triangle?
- How can this problem be extended to a pyramid with more rows?
Tip: Always double-check your equations and alignments when working through pyramid problems—they build sequentially, so an error in one step affects all others.
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Math Problem Analysis
Mathematical Concepts
Algebra
Arithmetic
Number Pyramids
Formulas
Sum of two elements in a row: a + b = c
Theorems
Basic properties of arithmetic sums
Suitable Grade Level
Grades 6-8
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