Ten years ago, Ram was twice as old as Shyam. Ten years from now, the ratio of their ages will be 3:2. What is Ram's present age?

Let Ram’s present age = $R$ years
Let Shyam’s present age = $S$ years

Ten years ago: $R - 10 = 2(S - 10)$
⇒ $R = 2S - 10$

Ten years from now: $\dfrac{R + 10}{S + 10} = \dfrac{3}{2}$
⇒ $2R + 20 = 3S + 30$
⇒ $2R = 3S + 10$

Substitute $R = 2S - 10$ into it:
$2(2S - 10) = 3S + 10$
⇒ $4S - 20 = 3S + 10$
⇒ $S = 30$

Then $R = 2(30) - 10 = 50$

✅ Final Answer: Ram’s present age = 50 years