Middle School

The product of two integers is 112. One number is four more than three times the other.

Which of the following equations could be used to find one of the numbers?

A. [tex]3x^2 + 4x = 112[/tex]
B. [tex]4x^2 + 3 = 112[/tex]
C. [tex]4x^2 + 3x = 112[/tex]
D. [tex]3x^2 + 4 = 112[/tex]

Answer :

x, y - two integers

the product of two integers is 112

(1) xy = 112

one number is four more then three times the other

(2) y = 3x + 4 substitute it to (1)

x(3x + 4) = 112 use distributive property

(x)(3x) + (x)(4) = 112

3x² + 4x = 112

Answer: A. 3x^2+4x=112

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