High School

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Two positive integers have a product of 176. One integer is 5 less than the other integer. Which equation can be used to find the value of [tex]x[/tex], the greater integer?

A. [tex]x^2 + 5 = 176[/tex]
B. [tex]x(x + 5) = 176[/tex]
C. [tex]x(x - 5) = 176[/tex]
D. [tex]x^2 - 5 = 176[/tex]

Answer :

Let the greater integer be [tex]$x$[/tex]. According to the problem, the smaller integer is [tex]$5$[/tex] less than the greater one, so it is [tex]$x - 5$[/tex]. We are told that their product is [tex]$176$[/tex]. This gives us the equation:

[tex]$$
x(x - 5) = 176.
$$[/tex]

Thus, the correct equation to find the value of [tex]$x$[/tex] is

[tex]$$
x(x - 5) = 176.
$$[/tex]

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