document.write( "Question 1159096: When Ralph asked his math teacher how old she was, she answered: \"Ten years ago, my age was equal to the square of my daughter's age. In 14 years, I will be twice as old as my daughter.\"What is the age of math Teacher \n" ); document.write( "

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When Ralph asked his math teacher how old she was, she answered: \"Ten years ago, my age was equal to the square of my daughter's age. In 14 years, I will be twice as old as my daughter.\"What is the age of math Teacher
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Let teacher's and daughter's ages be T, and D, respectively
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document.write( "Then we get:  
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document.write( " ------ Substituting 2D + 14 for T in eq (i)
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document.write( "(D - 6)(D - 16) = 0
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document.write( "D - 6 = 0       OR        D - 16 = 0
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document.write( "D = 6           OR        D = 16
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document.write( "Daughter's age CANNOT be 6 because 10 years ago she was alive. 
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document.write( "Therefore, daughter is 16 years-old.
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document.write( "Substitute this value into eq (ii) to find teacher's age. \n" );
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