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In English / Middle School | 2014-02-27

What times what equals 234, and what plus what equals 31?

Asked by PrincessStyles

Answer (3)

I
think you’re asking for the 2 numbers that will be multiplied to get 234 and will be added to 31.
Find the 2 numbers that can be multiplied then the answer will be 234
=> (x * x) = 234
=> 13 * 18
=> 234
Now, let’s add 31
=> 234 + 31
=> 265
Thus the answer is 265. The two numbers are 13 and 18 multiplied together to get 234 then 31 is added to get 265.

Answered by taskmasters | 2024-06-10

The two pairs of numbers that satisfy the given conditions are ( 13 ** × 18) and ( 18 + ** 13 ).
The Breakdown
x × y = 234 -- Equation 1
x + y = 31 -- Equation 2
x = 31 - y -- Substitute into Equation 1
(31 - y) × y = 234
Expanding the equation:
31y - y² = 234
Rearranging the equation:
y² - 31y + 234 = 0
To solve this quadratic equation , we can factor it:
(y - 18)(y - 13) = 0
y - 18 = 0 --> y = 18
y - 13 = 0 --> y = 13
If y = 18, substituting it into Equation 2:
x + 18 = 31
x = 31 - 18
x = 13
If y = 13, substituting it into Equation 2:
x + 13 = 31
x = 31 - 13
x = 18
Learn more about quadratic equation here
https://brainly.com/question/1214333
#SPJ6

Answered by lhhalimamalikbolakal | 2024-06-17

The two numbers that multiply to 234 and add to 31 are 18 and 13. These values satisfy both equations perfectly. Multiplying them gives 234 and adding them gives 31.
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Answered by taskmasters | 2024-09-26