Answer to Question #222982 in Algebra for Sama

Question

One-half of Heather's age two years from now plus one-third of her age three years ago is twenty years. How old is she now?

Answer 1

Let x be the age of Heather now. Consider and solve the equation:

$$\frac{x+2}{2}+\frac{x-3}{3}=20$$ $$3(x+2)+2(x-3)=120$$ $$3x+6+2x-6=120$$ $$5x=120$$ $$x=24$$

Answer. 24 years.