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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
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?
Solution
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
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
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