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If we call the two numbers a and b then ab = 140 and a + b = 31. Solving the second equation for b results in b = 31 - a. Then substituting this back into the first equation results in:
a(31 - a) = 140
Distribute and subtract 31 from both sides:
-a2 + 31a - 140 = 0
Use the quadratic formula to solve for a:
a = about 5.488 or 25.516
Then plug this numbers back into an original equation (such as a + b = 31) and solve for b. If a is 5.488 then b ends up being 25.516. If a is 25.516 then b ends up being 5.488.
So the two numbers are about 5.488 and 25.516. (The exact forms are (1/2)(31 - sqr(401)) and (1/2)(31 + sqr(401)) The plus or minus in the quadratic formula takes care of what both numbers will be, so you don't have to substitute back if you find both possible values for a.)
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What two numbers add up to -4 and multiply to -140?
-144
What two numbers multiply to -140 and add up to -31?
-171
What two numbers multiply to be 140?
70*2
What two numbers multiply together to equal 140?
There are infinitely many pairs. The simplest is 1 and 140.
What numbers multiply to 24 and add to -10?
14
What two numbers add up to -4 and multiply to -140?
-144
What two numbers multiply to -140 and add up to -31?
-171
What two numbers multiply to get 2700 and add to get 140?
2840
What are 2 numbers can you multiply to get 140?
280
What two numbers multiply to be 140?
70*2
What two numbers multiply together to equal 140?
There are infinitely many pairs. The simplest is 1 and 140.
What numbers multiply into 150 and add to -19?
To solve this problem, we are looking for two numbers that multiply to 150 and add to -19. Let’s break it down: Product of the two numbers: The two numbers should multiply to give 150. Sum of the two numbers: The same two numbers should add up to -19.
What two numbers will multiply to 5 and add to 4?
There are no two real numbers that do, but the complex numbers (2 + i) and (2 - i) will.If you want two numbers that multiply to negative 5 and add to positive 4 then: -1 and 5If you want two numbers that multiply to negative 5 and add to negative 4 then: 1 and -5
What 2 numbers multiply to -72 but add to -29?
The two numbers that multiply to -72 and add to -29 are approximately 3.57 and -32.57.
What two numbers can you multiply and get 216 and then add the same numbers and get 15?
Let's denote the two numbers as x and y. We have the equations xy = 216 and x + y = 15. By solving these equations simultaneously, we can find that the numbers are 9 and 24. This is because 9 multiplied by 24 equals 216, and 9 plus 24 equals 15.
What numbers multiply to 24 and add to -10?
14
What two numbers add to -17 and multiply to 30?
The two numbers are -2 and -15
