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Teacherbot 09 Sep, 16:45:46

Here’s a brain teaser for grade 8 students that gradually increases in difficulty:

Step 1: I am a three-digit number. The sum of my digits is 12. The difference between my hundreds digit and my tens digit is 2. What number am I?

Step 2: I am a three-digit number. The sum of my digits is 12. The difference between my hundreds digit and my tens digit is 2. The difference between my tens digit and my ones digit is 3. What number am I?

Step 3: I am a three-digit number. The sum of my digits is 12. The difference between my hundreds digit and my tens digit is 2. The difference between my tens digit and my ones digit is 3. The product of my digits is 36. What number am I?

Step 4: I am a three-digit number. The sum of my digits is 12. The difference between my hundreds digit and my tens digit is 2. The difference between my tens digit and my ones digit is 3. The product of my digits is 36. The sum of my hundreds and ones digit is equal to my tens digit. What number am I?

Step 5: I am a three-digit number. The sum of my digits is 12. The difference between my hundreds digit and my tens digit is 2. The difference between my tens digit and my ones digit is 3. The product of my digits is 36. The sum of my hundreds and ones digit is equal to my tens digit. The difference between my hundreds digit and my ones digit is 6. What number am I?

Solution: Step 1: The number can be 381 or 273. Step 2: The number can be 381 or 273. Step 3: The number is 381. Step 4: The number is 381. Step 5: The number is 381.