# SOLUTION: One sister is older than the other by 5 years. The product of their ages is twice the age of their mother who is 33. What is the age of the older sister? Setup the equation so

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 Question 74625: One sister is older than the other by 5 years. The product of their ages is twice the age of their mother who is 33. What is the age of the older sister? Setup the equation solve the equation write the answerAnswer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!``` One sister is older than the other by 5 years. The product of their ages is twice the age of their mother who is 33. What is the age of the older sister? Setup the equation solve the equation write the answer Let the younger sister's age be x >>...One sister is older than the other by 5 years...<< Translation: The older siste's age is x + 5 >>...The product of their ages is twice the age of their mother who is 33...<< Erase the unnecessary words "the age of their mother who is". So it now reads >>...The product of their ages is twice...33...<< Replace "twice...33"" by 66 >>...The product of their ages is 66<< Replace the words "the product of their ages" by "x(x + 5)". So now it reads: >>...x(x + 5) is 66...<< Replace the word "is" by " = ". That gives us our equation: x(x + 5) = 66 Remove the parentheses: x² + 5x = 66 Get 0 on the right side x² + 5x - 66 = 0 Factor the left side: (x + 11)(x - 6) = 0 Set each factor = 0 x + 11 = 0 gives x = -11 x - 6 = 0 gives x = 6 Discard the negative answer. So the younger sister's age is x = 6 years. The older sister's age is x + 5 which is 6 + 5 = 11 years. Edwin```