What is the two digit number where the digits is 5.
I. The difference between the two digits is 5.
II. The sum of the two digits is 7.

Options

A. if the data in Statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer to question.
B. if the data in statement Ii alone are sufficient to answer the questin, while the data in statemetn I alone are not suffcient to answer the question.
C. if the data wither in statement I alone or in statement II alone are sufficient to answer the question.
D. if the data event in both the statements I and II together are necessary to answer the question.

Explanation

To solve the problem, we need to find a two-digit number where one of the digits is 5. We will analyze the two statements provided to see if they give us enough information to determine the two-digit number.

Let’s denote the two digits of the two-digit number as \( x \) (the ten's place) and \( y \) (the unit's place).

### Step 1: Analyze Statement I
**Statement I:** The difference between the two digits is 5.
This can be expressed mathematically as:
\[ |x - y| = 5 \]
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