there are to odd numbers that equal 28 has to be less than 28 the two odd numbers if you multiply you get 115 what are the two numbers

Question

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Answer 1

Bill's answer is completely correct but if you need to set it up as an equation you would do it as follows:

 

let x = one number

let y = the other number

 

x + y = 28

 

xy = 115

 

y = 115/x

 

 

x + 115/x = 28

 

multiply all terms by x

 

x² + 115 = 28x

 

x² -28x + 115 = 0

 

now factor

 

(x-5)(x-23) = 0

 

 

solve for x

 

x-5 = 0

 

x = 5

 

therefore y = 23

 

 

Answer 2

two odd numbers multiply to 115

find all the factors of 115 = 5 * 23

these are the only two odd factors that also sum to 28