SOLUTION: The sum of these two numbers are 31. The product of these two numbers are 150, what are the numbers?

Question 390649: The sum of these two numbers are 31. The product of these two numbers are 150, what are the numbers?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of these two numbers are 31. The product of these two numbers are 150, what are the numbers?
--------
Equations:
x + y = 31
xy = 150
-----
Modify:
x = 31-y
---
Substitute:
(31-y)y = 150
---
Solve:
-y^2+31y-150 = 0
y^2-31y+150 = 0
---
Factor:
y^2- 25y-6y + 150 = 0
y(y-25)-6(y-25) = 0
(y-25)(y-6) = 0
--------------
y = 25, then x = 6
OR
y = 6, then x = 25
======================
Cheers,
Stan H.
RELATED QUESTIONS
The sum of two numbers is 31. The product of the two numbers is 150. What are the... (answered by Fombitz)

The product of two consecutive positive even numbers is 960. What are these two... (answered by nyc_function,Alan3354)

The product of two numbers is 225, but their sum is -30. What are these two... (answered by josgarithmetic)

The product of two numbers is 30 and the average 6. What are these... (answered by Gogonati)

The sum of two numbers is 84. The difference of these numbers is 38. What are the two... (answered by ewatrrr)

The sum of two numbers is 31. Their difference is 9. What are the two... (answered by checkley71)

There are two whole numbers that have greatest common factor of 16. The sum of these two... (answered by MathLover1)

Two numbers, a+b, have the sum of 17. The product of these numbers, ab, is 60. What... (answered by Alan3354)

the sum of two numbers is -9 and their difference is 31, what are the... (answered by addingup)