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
<pre>Let teacher's and daughter's ages be T, and D, respectively
Then we get: {{{system(matrix(1,6, T - 10, "=", (D - 10)^2, "-------", eq, (i)), matrix(1, 14, T + 14, "=", 2(D + 14), "_____", T + 14, "=", 2D + 28, "_____", T, "=", 2D + 14, "-------", eq, (ii)))}}} 
{{{matrix(1,3, 2D + 14 - 10, "=", (D - 10)^2)}}} ------ Substituting 2D + 14 for T in eq (i)
{{{matrix(2,3, 2D + 4, "=", D^2 - 20D + 100, D^2 - 22D + 96, "=", 0)}}}
(D - 6)(D - 16) = 0
D - 6 = 0       OR        D - 16 = 0
D = 6           OR        D = 16
Daughter's age CANNOT be 6 because 10 years ago she was alive. 
Therefore, daughter is 16 years-old.
Substitute this value into eq (ii) to find teacher's age.