13 years ago Ram was twice as old as Sunny. Three years from now Sunny’s age will be $$\frac{3}{5}$$ of Ram’s age. What is Ram’s current age?
Let Ram's present age be x and Sunny's present age be y.
According to the question,
Thirteen years ago, x $$-$$ 13 = 2(y $$-$$ 13)
= x $$-$$ 2y $$+$$ 13 = 0 (Eq. 1)
Three years later, $$\frac{3}{5}\times $$(x + 3) = (y + 3)
= 3x $$-$$ 5y $$-$$ 6 = 0 (Eq. 2)
Solving Eq 1 and Eq 2 we get,
x=77 years and y=45 years
Option D is the answer.
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