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Ben, Bob and Bill are triplets. They were born 5 years before their sister, Stephanie. This year the product of their four ages is 75749 greater than the sum of their ages. How old is Stephanie? Show all your work.

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Respuesta :

W0lf93

Let the triplets' age be x, the sister's age is then x-5. 
product of their age as given 
xÂł.(x-5)=75749+x+x+x+x-5
 x^4 - 5xÂł= 4x +75744
 x^4 - 5xÂł -4x -75744=0
 resolving the equation,
 we get 
 x = 18 
 therefore, Age of ben,bob and bill is 18
 so , age of stephanie is x-5 = 18-5 = 13
 stephanie is 13 years old.

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