Math Problem Statement

1, 2, 3, 4 ve 5 sayılarının her biri en az birer kez kullanılarak, aralarında toplama ve çarpma işlemi bulunan şekildeki altı kutuya, her kutuda birer sayı olacak biçimde yerleştirildiğinde gösterilen eşitlikler elde edilmektedir. Buna göre, iki kez kullanılan sayı aşağıdakilerden hangisidir?

Solution

This problem requires identifying which number is used twice when the numbers 1,2,3,4,51, 2, 3, 4, 5 are arranged to satisfy the given equations involving addition and multiplication. Here's how we approach it:


Step 1: Problem Understanding

  • Given Numbers: 1,2,3,4,51, 2, 3, 4, 5
  • Two equations with blanks: _+_=_\boxed{\_} + \boxed{\_} = \boxed{\_} _×_=_\boxed{\_} \times \boxed{\_} = \boxed{\_}
  • Condition: Each number must be used exactly once

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Math Problem Analysis

Mathematical Concepts

Algebra
Arithmetic Operations
Problem Solving

Formulas

Addition: a + b = c
Multiplication: a × b = c

Theorems

Properties of Operations: Commutative Property
Number Placement Constraints

Suitable Grade Level

Grades 6-8