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Answer :
To solve the problem, let's set up an equation based on the information provided:
1. We need to find two positive integers whose product is 176.
2. One of these integers is 5 less than the other.
Let's say the greater integer is [tex]\( x \)[/tex]. Since the other integer is 5 less than the greater integer, it can be represented as [tex]\( x - 5 \)[/tex].
Now, according to the problem, their product is 176:
[tex]\[
x(x - 5) = 176
\][/tex]
This equation correctly represents the relationship between the two integers and their product. So the equation that can be used to find the value of [tex]\( x \)[/tex], the greater integer, is:
[tex]\[
x(x - 5) = 176
\][/tex]
This equation will help you find the correct value of [tex]\( x \)[/tex] that satisfies the given conditions.
1. We need to find two positive integers whose product is 176.
2. One of these integers is 5 less than the other.
Let's say the greater integer is [tex]\( x \)[/tex]. Since the other integer is 5 less than the greater integer, it can be represented as [tex]\( x - 5 \)[/tex].
Now, according to the problem, their product is 176:
[tex]\[
x(x - 5) = 176
\][/tex]
This equation correctly represents the relationship between the two integers and their product. So the equation that can be used to find the value of [tex]\( x \)[/tex], the greater integer, is:
[tex]\[
x(x - 5) = 176
\][/tex]
This equation will help you find the correct value of [tex]\( x \)[/tex] that satisfies the given conditions.
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