SOLUTION: amber is 3 years younger than her older sister,and 2 years older than her younger sister.the product of ambers age and her younger sisters age is subtracted from the product of amb

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: amber is 3 years younger than her older sister,and 2 years older than her younger sister.the product of ambers age and her younger sisters age is subtracted from the product of amb      Log On


   



Question 1042424: amber is 3 years younger than her older sister,and 2 years older than her younger sister.the product of ambers age and her younger sisters age is subtracted from the product of ambers age and her older sisters age.the answer is 40.how old is amber?
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Amber is 3 years younger than her older sister,and 2 years older than her younger sister.
the product of Ambers age and her younger sisters age is subtracted from the product of Ambers age and her older sisters age,
the answer is 40. how old is Amber?
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We are given that A*O - A*Y = 40,

where A = Amber's age, O = older sister age, Y = younger sister age.

Besides of this, we are given (implicitly) that O - Y = (O-A) + (A -Y) = 3 + 2 = 5.

So, 40 = A*O - A*Y = A*(O-Y) = 5A,

which implies A = 40%2F5 = 8.

Answer. Amber is 8 years old.