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

RELATED QUESTIONS
three timesa number added to a second number is 33. the first number added to three times (answered by oscargut)

The difference of two numbers is -1. If twice the first number is added to three times... (answered by macston)

The difference of two numbers is -1. If twice the first number is added to three times... (answered by Alan3354)

Twice a number minus a second number is -1. Twice the second number added to three times... (answered by Theo)

twice a number minus a second number is -1. twice the second number added to three times... (answered by josgarithmetic)

The difference between the squares of two numbers is 5.Three times the square of the... (answered by ikleyn)

Three times a number is added to five times a number to get 54. The second number is two (answered by Stitch)

Three times one number added to five times another number is 54. The second number is... (answered by checkley71)

If the first whole number is summed up 3 times and the second whole number y is... (answered by JoelSchwartz)