The product of any two integers is 25, then the minimum possible sum is :

Options

A. 5
B. 10
C. 26
D. none of these

Answer

To find the minimum possible sum of two integers whose product is 25, we can follow these steps:

### Step 1: Identify the pairs of integers
We need to find pairs of integers (x, y) such that their product is 25. The pairs can be:
- (1, 25)
- (25, 1)
- (5, 5)
- (-1, -25)
- (-25, -1)
- (-5, -5)

### Step 2: Calculate the sums of these pairs
Now, we will calculate the sums for each of these pairs:
1. For (1, 25):
- Sum = 1 + 25 = 26
2. For (25, 1):
- Sum = 25 + 1 = 26
3. For (5, 5):
- Sum = 5 + 5 = 10
4. For (-1, -25):
- Sum = -1 + (-25) = -26
5. For (-25, -1):
- Sum = -25 + (-1) = -26
6. For (-5, -5):
- Sum = -5 + (-5) = -10

### Step 3: Determine the minimum sum
Now we compare all the sums calculated:
- 26
- 10
- -26
- -10

The minimum sum among these is -26.

### Conclusion
Thus, the minimum possible sum of two integers whose product is 25 is **-26**.

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