A two-digit number is 5 times the sum of its digits and is also equal to 5 more than twice the product of its digits. Find the number.

Explanation

To solve the problem step by step, let's define the two-digit number and set up the equations according to the conditions given in the question.

### Step 1: Define the digits
Let the ten's digit be \( X \) and the unit's digit be \( Y \). Therefore, the two-digit number can be expressed as:
\[ \text{Two-digit number} = 10X + Y \]

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