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 [tex]$x$[/tex] be the greater integer, and since one integer is 5 less than the other, the smaller integer is [tex]$x-5$[/tex]. According to the problem, the product of the two integers is 176. This gives us the equation

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

Thus, the equation that can be used to find [tex]$x$[/tex], the greater integer, is

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

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