Answer :
Let's address the question step-by-step based on part (c):
### Question:
The sum of two integers is [tex]\( -25 \)[/tex] and one of them is [tex]\( +20 \)[/tex]. Which is the other integer?
### Solution:
1. Identify the known values:
- The sum of the two integers: [tex]\( -25 \)[/tex]
- One of the integers: [tex]\( +20 \)[/tex]
2. Set up the equation for the sum of the two integers:
[tex]\[ \text{Sum of two integers} = \text{First Integer} + \text{Second Integer} \][/tex]
3. Substitute the known values into the equation:
[tex]\[ -25 = 20 + \text{Second Integer} \][/tex]
4. Solve for the second integer:
To isolate the second integer, subtract 20 from both sides of the equation:
[tex]\[ -25 - 20 = \text{Second Integer} \][/tex]
5. Calculate the result:
[tex]\[ -25 - 20 = -45 \][/tex]
Therefore, the other integer is [tex]\( -45 \)[/tex].
### Question:
The sum of two integers is [tex]\( -25 \)[/tex] and one of them is [tex]\( +20 \)[/tex]. Which is the other integer?
### Solution:
1. Identify the known values:
- The sum of the two integers: [tex]\( -25 \)[/tex]
- One of the integers: [tex]\( +20 \)[/tex]
2. Set up the equation for the sum of the two integers:
[tex]\[ \text{Sum of two integers} = \text{First Integer} + \text{Second Integer} \][/tex]
3. Substitute the known values into the equation:
[tex]\[ -25 = 20 + \text{Second Integer} \][/tex]
4. Solve for the second integer:
To isolate the second integer, subtract 20 from both sides of the equation:
[tex]\[ -25 - 20 = \text{Second Integer} \][/tex]
5. Calculate the result:
[tex]\[ -25 - 20 = -45 \][/tex]
Therefore, the other integer is [tex]\( -45 \)[/tex].