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Answer the following questions.
(a) The sum of two integers is -15. If one of them is 56, find the other.
The
difference of an integer and -13 is 16. Find the integer.
(b)
-va

Sagot :

GinnyAnswer
### (a) Finding the Other Integer When the Sum is Given

We know that the sum of two integers is [tex]\(-15\)[/tex], and one of those integers is [tex]\(56\)[/tex]. Let the other integer be [tex]\(x\)[/tex].

Given:
[tex]\[ 56 + x = -15 \][/tex]

To find [tex]\(x\)[/tex], we need to isolate [tex]\(x\)[/tex]:

[tex]\[ x = -15 - 56 \][/tex]

Now, subtract [tex]\(56\)[/tex] from [tex]\(-15\)[/tex]:

[tex]\[ x = -71 \][/tex]

So, the other integer is [tex]\(-71\)[/tex].

### (b) Finding the Integer When the Difference is Given

We need to find an integer [tex]\(y\)[/tex] such that the difference between [tex]\(y\)[/tex] and [tex]\(-13\)[/tex] is [tex]\(16\)[/tex].

Given:
[tex]\[ y - (-13) = 16 \][/tex]

Simplify the left side:
[tex]\[ y + 13 = 16 \][/tex]

To isolate [tex]\(y\)[/tex], we subtract [tex]\(13\)[/tex] from both sides:

[tex]\[ y = 16 - 13 \][/tex]

Subtract [tex]\(13\)[/tex] from [tex]\(16\)[/tex]:

[tex]\[ y = 3 \][/tex]

So, the integer is [tex]\(3\)[/tex].
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