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

Answers

Answer 1

Answer: 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.

Answer 2

Answer:

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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