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Answer :
To solve the problem, let's break it down step by step:
1. Identify the Variables:
- Let the greater integer be [tex]\( x \)[/tex].
- Since one integer is 5 less than the other, the other integer will be [tex]\( x - 5 \)[/tex].
2. Set Up the Equation:
- We know the product of the two integers is 176.
- Therefore, the equation that represents this situation is:
[tex]\[
(x) \times (x - 5) = 176
\][/tex]
3. Choose the Correct Equation:
- From the options provided, the equation that matches our setup is:
[tex]\[
x(x - 5) = 176
\][/tex]
This equation will allow you to find the value of [tex]\( x \)[/tex], the greater integer. By solving this equation, you can determine the integers that multiply to 176, with one integer being 5 less than the other.
1. Identify the Variables:
- Let the greater integer be [tex]\( x \)[/tex].
- Since one integer is 5 less than the other, the other integer will be [tex]\( x - 5 \)[/tex].
2. Set Up the Equation:
- We know the product of the two integers is 176.
- Therefore, the equation that represents this situation is:
[tex]\[
(x) \times (x - 5) = 176
\][/tex]
3. Choose the Correct Equation:
- From the options provided, the equation that matches our setup is:
[tex]\[
x(x - 5) = 176
\][/tex]
This equation will allow you to find the value of [tex]\( x \)[/tex], the greater integer. By solving this equation, you can determine the integers that multiply to 176, with one integer being 5 less than the other.
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