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(b) The sum of two integers is +20. One of them is +7. What is the other integer?

(c) The sum of two integers is -25. One of them is +20. What is the other integer?

The sum of two integers is +7, and the smaller integer is -4. What is the greater integer?


Sagot :

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].