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.
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
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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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