Product - quadratic equation

The product of the two numbers is 900. If we increase the lowest number by two, then its product will increase by 150. Determine both numbers.

Correct answer:

x =  75
y =  12

Step-by-step explanation:

$$\begin{gathered} xy=900 \\ x(y+2)=900+150 \\ xy+2x=900+150 \\ 2x=150 \\ x=75 \end{gathered}$$

$y=900\mathrm{/}x=12$

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