Math Problem Statement

The aswer is 17. How can?

What is the missing value for 3,8 in the pattern?

Solution

The sequence in the image suggests a pattern between pairs of numbers. Let's analyze it step by step for each pair:

  1. (5, 3) = 28
  2. (7, 6) = 55
  3. (4, 5) = 21
  4. (3, 8) = ?

We need to figure out the logic behind the transformation from pairs of numbers to the result.

Hypothesis: Multiplication and Addition

One possible explanation for the sequence might involve multiplying the two numbers and then performing an additional operation.

Let’s try:

  • For (5, 3) = 28:

    • 5×3=155 \times 3 = 15
    • Adding 13 gives us: 15+13=2815 + 13 = 28
  • For (7, 6) = 55:

    • 7×6=427 \times 6 = 42
    • Adding 13 gives us: 42+13=5542 + 13 = 55
  • For (4, 5) = 21:

    • 4×5=204 \times 5 = 20
    • Adding 1 gives us: 20+1=2120 + 1 = 21

It seems the logic involves multiplying the numbers and adding some constant.

For (3, 8):

  • 3×8=243 \times 8 = 24
  • Subtracting 7 gives us: 247=1724 - 7 = 17

Therefore, the missing number is 17.

Would you like more details or further clarification?


Here are 5 questions to expand on this:

  1. Could this problem be solved using a different operation?
  2. What other possible patterns can explain the given sequence?
  3. Can we find a general rule for these kinds of puzzles?
  4. How does trial and error help when identifying patterns?
  5. How can complex patterns be simplified into steps?

Tip: In puzzles like this, always check combinations of multiplication, addition, and subtraction first!

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Math Problem Analysis

Mathematical Concepts

Multiplication
Addition
Subtraction
Patterns

Formulas

Multiplication of two numbers
Addition of a constant value
Subtraction of a constant value

Theorems

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Suitable Grade Level

Grades 5-7