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

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?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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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?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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 =  = 8.

Answer. Amber is 8 years old.

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