Two whole Positive Number-Math riddle

Greetings, puzzle enthusiasts! Today, we embark on a journey to unravel the mystery behind two whole, positive numbers. These numbers share a unique property — their product yields a one-digit result, while their sum results in a two-digit answer. Let's delve into the world of numbers and uncover the secrets hidden within this mathematical enigma.


What two whole, positive numbers that have a one digit answer when multiplied and a two digit answer when added?


Explanation :  


Let the two whole, positive numbers be represented by and . The given conditions are:

  1. When multiplied, the result is a one-digit number: =Single Digit

  2. When added, the result is a two-digit number: =Two Digit Number

Now, let's consider the specific case of =1 and =9.

  1. Multiplication: 1×9=9

    The result is a single-digit number, which satisfies the first condition.

  2. Addition: 1+9=10

    The result is a two-digit number, fulfilling the second condition.

Thus, the numbers 1 and  9 meet both criteria. This demonstrates the mathematical solution to the given puzzle, where the multiplication of 1 and 9 yields a single-digit result, and the addition of 1 and 9 produces a two-digit sum.


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In conclusion, the mystery of two whole, positive numbers that yield a one-digit answer when multiplied and a two-digit answer when added is unraveled with the discovery of 1 and 9. This mathematical enigma not only highlights the versatility of numbers but also invites us to appreciate the intricacies and surprises that the world of mathematics has to offer. Keep exploring, keep discovering, and let the beauty of numbers continue to inspire your mathematical journey!