SOLUTION: Age problem. 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

Algebra ->  Expressions-with-variables -> SOLUTION: Age problem. 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       Log On


   



Question 1060698: Age problem. 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.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the triplets' age be x, the sister's age is then x-5.
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x%5E3%28x-5%29=75749%2Bx%2Bx%2Bx%2Bx-5
x%5E4-5x%5E3=4x%2B75744
x%5E4-5x%5E3-4x-75744=0
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Graphing the equation,
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There is one solution that is useful.
x=18
So then,
x-5=18-5
x-5=13