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Answer :
To solve this problem, we need to find two positive integers whose product is 176, and one of the integers is 5 less than the other.
Let's call the greater integer [tex]\( x \)[/tex]. The smaller integer will then be [tex]\( x - 5 \)[/tex] because it is 5 less than the greater integer.
To set up the equation, we use the fact that the product of these two integers is 176:
[tex]\[ x(x - 5) = 176 \][/tex]
This equation accurately represents the problem because it encapsulates the relationship between the two integers, where one is 5 less than the other, and their product is 176.
Therefore, the correct equation to find the value of [tex]\( x \)[/tex], the greater integer, is:
[tex]\[ x(x - 5) = 176 \][/tex]
Let's call the greater integer [tex]\( x \)[/tex]. The smaller integer will then be [tex]\( x - 5 \)[/tex] because it is 5 less than the greater integer.
To set up the equation, we use the fact that the product of these two integers is 176:
[tex]\[ x(x - 5) = 176 \][/tex]
This equation accurately represents the problem because it encapsulates the relationship between the two integers, where one is 5 less than the other, and their product is 176.
Therefore, the correct equation to find the value of [tex]\( x \)[/tex], the greater integer, is:
[tex]\[ x(x - 5) = 176 \][/tex]
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