Find two numbers whose sum is 27 and the product is 182

brizgney58z

brizgney58z

Answered question

2023-02-20

Find two numbers whose sum is 27 and the product is 182.

Answer & Explanation

Aubree Phelps

Aubree Phelps

Beginner2023-02-21Added 7 answers

Calculate the necessary numbers under the specified conditions.
Let the two numbers be x and y.
We have, sum is 27 and product is 182.
So, x+y=27 and xy=182
Now, x=182y
So, replacing this in x+y=27, we get,
182y+y=27182+y2=27yy2-27y+182=0y2-13y-14y+182=0y(y-13)-14(y-13)=0(y-13)(y-14)=0y=13,14
Now, y can either be 13 or 14.
If y=13, then x=27-13=14
If y=14, then x=27-14=13
Hence, the two numbers are 13 and 14.

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