Math Problem Statement

In the pyramid, the number in the top brick is the sum of the numbers in the two bricks below it. What number should replace the question mark?

Solution

Let’s solve the problem shown in the image.

Problem:

The number in the top brick is the sum of the numbers in the two bricks below it. You need to find the value of the missing number, represented as "?" in the pyramid.

Given:

  • Bottom row: -5 and 2.
  • Middle row: "?" (missing value).

Solution:

From the rule: Top brick=Left bottom brick+Right bottom brick.\text{Top brick} = \text{Left bottom brick} + \text{Right bottom brick}.

Substitute the values: ?=5+2.? = -5 + 2.

Perform the addition: ?=3.? = -3.

Final Answer:

The missing number is -3.

Let me know if you'd like a detailed breakdown!

Related Questions:

  1. How would this rule apply in a 4-level pyramid?
  2. What happens if the rule changes to subtraction instead of addition?
  3. Can we reverse-calculate the bricks in a completed pyramid to find the bottom numbers?
  4. What would happen if fractions were involved in the bricks?
  5. How can this be solved using a programming language like Python?

Tip:

Always double-check the operation (addition, subtraction, etc.) for pyramid problems before solving!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Addition of Integers
Number Patterns

Formulas

Top Brick = Left Bottom Brick + Right Bottom Brick

Theorems

Basic Arithmetic Operations

Suitable Grade Level

Grades 3-5