Question 249882
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Let *[tex \Large r] represent Regina's age now.  Let *[tex \Large m] represent Mort's age now.  Then *[tex \Large r\ +\ 10] represents Regina's age ten years from now. And *[tex \Large m\ +\ 10] represents Mort's age ten years from now.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ r\ =\ \frac{3}{5}m]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 5r\ =\ 3m\ \ \ ] (Equation 1)


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ r\ +\ 10\ =\ \frac{4}{5}(m\ +\ 10)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 5r\ +\ 50\ =\ 4m\ +\ 10\ \ \ ] (Equation 2)


Substitute from Equation 1:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3m\ +\ 50\ =\ 4m\ +\ 10\ \ \ ]


Just solve for *[tex \LARGE m] and then multiply that by *[tex \LARGE \frac{3}{5}] to calculate *[tex \LARGE r]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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