Product - quadratic equation

Product of two numbers is 900. If we increase lowest number by 2 then product will increase by 150. Determine both numbers.

Result

x =  75
y =  12

Solution:

xy=900 x(y+2)=900+150 xy+2x=900+150 2x=150 x=75xy =900 \ \\ x(y+2) = 900 + 150 \ \\ xy + 2x = 900 + 150 \ \\ 2x = 150 \ \\ x = 75
y=900/x=12y = 900/x = 12

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