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?

Question

asked Feb 4, 2019 125k views

2 Answers

Pikovayadama · Answer 1 · 2019-02-09T00:57:00+0000

Answer:

The following equations is,

Explanation:

Let two integers be x and y.

As per the given statement:

The product of two integers is 112.

⇒
$x \cdot y = 112$ ......[1]

Also, One number is 4 more than three times the other.

⇒ y = 3x +4 ......[2]

Now substitute equation [1] in [2] we get

$x \cdot (3x + 4) = 112$

Using distributive property i.e,
$a \cdot (b+c) =a\cdot b + a\cdot c$

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

Simplify:

3x^2 + 4x = 112

therefore, the equation could be used to find one of the numbers is;