the sum of two numbers is 32 and their product is 240
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Answer:
20 and 12 are the correct numbers, have a nice day!
Step-by-step explanation:
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Given the conditions can be as follows:
1.X+Y = 32
2.X*Y = 240
Let the 2 numbers be x and y.
Now consider (2) then x*y=240 , y=240/x , substitute this in (1). We get,
(x)(32-x)=240
x²-32x+240=0
x²-20x-12x+240=0
(x-20)(x-12)=0
x=20 or 12
the numbers are 20 and 12
Let check if the given conditions are correct:
1. 20 +12=32. (which satisfy the condition)
2. 20×12=240
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