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The sum of the reciprocals of Rehman's ages, (in years) 3 years ago and 5 years from now is $\frac{1}{3}$. Find his present age.
02:42
Suman Saurav T.
Algebra
Chapter 4
Quadratic Equations
Section 3
Solution of a Quadratic Equation by Factorisation
Polynomials
Oregon State University
Harvey Mudd College
Baylor University
Idaho State University
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in decision led the Raymond current age equal to X years. So here you can see that the sum of reciprocal of Raymond's age three years ago, therefore three years ago, three months a equal to acts negative three. Here's and five years from now is one upon three. So we have to find the percentage present age and after five years, three month age equal to X plus five ears. So you can see that in discussion the sum of reciprocal of romans age three years ago and five years from now. It's one upon three. So one of them X negative three plus one upon X plus five equal to one up on three. So here we simplify this. So we get eggs negative three times X plus five in the numerator and denominator, eggs 93 plus explosive five equal to one up on three. So here we get two X father due to Upon acts square plus five X negative three X negative 15 equal to one up on three. So we combine combine the light rooms and we do cross multiply. So here we get six X plus six equal to access choir plus two eggs negative 15 so here X squared negative fool X negative 21 equal to seal now it is a quality equation. So here equal to one we equal to negative four and it's equal to negative 21. So here you know that quality equation formula X equal to negative we close minus squared off be square negative full A C upon two times A So now we apply that formula here so tax equal to negative negative fool plus minus quite it off negative fall to the power to negative four times one times 1921 upon two times one. So here we simplify this X equal to four plus miners squared off 16. Native negative eight times full. Sorry anymore upon do so here exit will do four plus minus squared off 100 upon to so here four plus minus then upon to either X equal to four plus dan a bone two all X equal to for negative 10 upon to. So here we get X equal to seven, All X equal to negative three. So here you can see that the age old person cannot be negative. So we did X equal to seven. So here hands three months age equal to seven years. It is all fine along
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