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Answer :
- Let $x$ be the greater integer, then the smaller integer is $x-5$.
- The product of the two integers is 176, so $x(x-5) = 176$.
- The equation to find the greater integer $x$ is $\boxed{x(x-5)=176}$.
### Explanation
1. Setting up the equation
Let $x$ be the greater integer. Then the other integer is $x-5$. The product of these two integers is 176, so we have the equation $x(x-5) = 176$.
2. Finding the equation
The equation that can be used to find the value of $x$, the greater integer, is $x(x-5)=176$.
### Examples
Imagine you are designing a rectangular garden where the length is 5 feet more than the width, and the total area of the garden should be 176 square feet. This problem helps you determine the dimensions of the garden by setting up an equation that relates the length and width to the area. Understanding how to set up and solve such equations can guide you in various design and planning scenarios where dimensions and areas are related.
- The product of the two integers is 176, so $x(x-5) = 176$.
- The equation to find the greater integer $x$ is $\boxed{x(x-5)=176}$.
### Explanation
1. Setting up the equation
Let $x$ be the greater integer. Then the other integer is $x-5$. The product of these two integers is 176, so we have the equation $x(x-5) = 176$.
2. Finding the equation
The equation that can be used to find the value of $x$, the greater integer, is $x(x-5)=176$.
### Examples
Imagine you are designing a rectangular garden where the length is 5 feet more than the width, and the total area of the garden should be 176 square feet. This problem helps you determine the dimensions of the garden by setting up an equation that relates the length and width to the area. Understanding how to set up and solve such equations can guide you in various design and planning scenarios where dimensions and areas are related.
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