If `7 xx 5= 35 and 35 xx 3= 105`, then state True or False for the following statements
35 is a multiple of 5

Answer

To determine whether the statement "35 is a multiple of 5" is true or false, we can follow these steps:

### Step 1: Understand the definition of a multiple
A number \( A \) is said to be a multiple of another number \( B \) if there exists an integer \( n \) such that \( A = B \times n \).

**Hint:** Remember that multiples of a number are obtained by multiplying it by whole numbers (0, 1, 2, 3, ...).

### Step 2: Identify the numbers involved
In this case, we need to check if 35 is a multiple of 5.

**Hint:** Look at the two numbers: 35 and 5.

### Step 3: Set up the equation
We need to find if there exists an integer \( n \) such that:
\[ 35 = 5 \times n \]

**Hint:** Think about what number you can multiply by 5 to get 35.

### Step 4: Solve for \( n \)
To find \( n \), we can divide 35 by 5:
\[ n = \frac{35}{5} \]

**Hint:** Perform the division to find the value of \( n \).

### Step 5: Calculate
Calculating \( \frac{35}{5} \):
\[ n = 7 \]

**Hint:** Check if the result is a whole number.

### Step 6: Conclusion
Since \( n = 7 \) is an integer, we can conclude that:
\[ 35 = 5 \times 7 \]
This means that 35 is indeed a multiple of 5.

**Final Statement:** Therefore, the statement "35 is a multiple of 5" is **True**.

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