SOLUTION: The product of two whole numbers is 36. When the first number is added to three times the second number, the answer is 31. what are the numbers?
Question 265029: The product of two whole numbers is 36. When the first number is added to three times the second number, the answer is 31. what are the numbers? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The product of two whole numbers is 36.
x * y = 36
x =
:
When the first number is added to three times the second number, the answer is 31.
x + 3y = 31
;
Replace x with + 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 = ; then x = 27
