SOLUTION: The sum of two numbers is 31. The product of the two numbers is 150. What are the numbers? Thank You Robbie (4th grade)

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Question 352215: The sum of two numbers is 31. The product of the two numbers is 150. What are the numbers?
Thank You
Robbie (4th grade)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First name your variables.
How about A and B?
Now turn the words into equations.
"sum of two numbers is 31"
1.A%2BB=31
"product of the two numbers is 150"
2.A%2AB=150
From eq. 1,
A%2BB=31
A=31-B
Substitute into eq. 2,
A%2AB=150
%2831-B%29%2AB=150
31B-B%5E2=150
B%5E2-31B%2B150=0
You can factor this equation,
%28B-25%29%28B-6%29=0
Two solutions:
B-25=0
highlight%28B=25%29
Then from eq. 1,
A%2B25=31
highlight%28A=6%29
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.
.
B-6=0
highlight_green%28B=6%29
Then from eq. 1,
A%2B6=31
highlight_green%28A=25%29
Your two numbers are 6 and 25.
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.
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You're studying quadratic equations in the 4th grade??