Math Problem Statement

Find the missing number in place of the question mark (?), if the same rule is followed row-wise or column-wise.

Solution

Let's analyze the problem. Each row or column seems to follow a consistent rule. Let's examine the pattern row-wise and column-wise:

First Row:

47×21=98747 \times 21 = 987 Subtracting 594594: [To solve the problem, let’s analyze the structure of the table row-wise and identify the rule.

First Row:

  • The numbers are 47, 21, and 394. Rule: Multiply the first two numbers: 47×21=98747 \times 21 = 987, Then subtract 593: 987593=394987 - 593 = 394.

Second Row:

  • The numbers are 37, 31, and ?. Using the same rule: Multiply the first two numbers: 37×31=114737 \times 31 = 1147, Subtract 593: 1147593=5541147 - 593 = 554.

Thus, the missing number is 554.

Third Row:

  • The numbers are 49, 27, and 680. Verify the rule: 49×27=132349 \times 27 = 1323, Subtract 593: 1323593=6801323 - 593 = 680.

The rule holds for all rows.


Would you like further clarification or details?
Here are five related questions to explore further:

  1. Can you create a similar puzzle with different rules for me to solve?
  2. What happens if we change the subtraction constant in the rule?
  3. How can we approach this puzzle column-wise?
  4. Can you generalize this rule for larger grids?
  5. How might a similar rule look for non-linear transformations?

Tip: Always test your rule across all rows or columns to confirm consistency before

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Math Problem Analysis

Mathematical Concepts

Arithmetic operations
Patterns and rules

Formulas

(a × b) - c = result

Theorems

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Suitable Grade Level

Grades 6-8