Question

Can you name the mystery three-digit number? One of the digits is 4. If you add the first and the second digits, the sum is 8. The second digit is 2 more than the first digit. If you multiply the first and the last digits, the product is 8.

Answer 1

To find the mystery three-digit number, use the clues given to solve for the unknown digits. Let the first digit be x and use algebra to solve for x. The first digit is 3, the second digit is 5, and the mystery number is 354.

Step-by-step explanation:

To find the mystery three-digit number, you can use the clues given:

• One of the digits is 4.
• The sum of the first and second digits is 8.
• The second digit is 2 more than the first digit.
• The product of the first and last digits is 8.

Let's use algebra to solve for the unknown digits:

• Let the first digit be x.
• Since the second digit is 2 more than the first digit, the second digit is x + 2.
• The sum of the first and second digits is 8, so x + (x + 2) = 8.
• Simplifying the equation, we get 2x + 2 = 8.
• Subtracting 2 from both sides, we get 2x = 6.
• Dividing both sides by 2, we get x = 3.
• Therefore, the first digit is 3 and the second digit is 3 + 2 = 5.
• The digits are 3, 5, and 4.
• So, the mystery three-digit number is 354.