<PRE><B>Question 265029</B>
The product of two whole numbers is 36.
x * y = 36
x = {{{36/y}}}
:
 When the first number is added to three times the second number, the answer is 31.
x + 3y = 31
;
Replace x with {{{36/y}}}
{{{36/y}}} + 3y = 31
:
multiply by y, results
36 + 3y^2 = 31y
;
A quadratic equation
3y^2 - 31y + 36 = 0
;
Factors to
(3y - 4)(y - 9) = 0
:
two solutions
y = 9, then x = 4
and
3y = 4,
y = {{{4/3}}}; then x = 27


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