Question

The product of a number and 2 more than that is 168, what are the numbers?

• A. 12,14
• B. 10,18
• C. 15,13
• D. 16,14

Answer 1

Answer:

A. 12,14

Let the numbers be x, x+2

$x(x+2)=168$

$x^2+2x=168$

Add half of the coefficent of x on both sides

$x=x^2+2x+1=169$

$(x+1)^2=169$

$x+1=\sqrt{169}$

$x+1=13$

$x=13-1=12$

$x+2=14$