SOLUTION: Ram is twice as old as shyam was when ram was as old as shyam is now. If the present age of shyam is 18 years, find the present age of ram....

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Question 1043080: Ram is twice as old as shyam was when ram was as old as shyam is now. If the present age of shyam is 18 years, find the present age of ram....
Found 2 solutions by jorel555, ikleyn:
Answer by jorel555(1290)   (Show Source): You can put this solution on YOUR website!
Shyam is 18. When Ram was 18, he was twice as old as shyam, which would make shyam 9 years old at the time. Since shyam is now 18, that would have been 9 years ago, making ram 18+9, or 27 years old now. ☺☺☺☺
Answer by ikleyn(52785)   (Show Source): You can put this solution on YOUR website!
.
Ram is twice as old as Shyam was when ram was as old as Shyam is now. If the present age of Shyam is 18 years,
find the present age of Ram....
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let R = Ram's present age and S = Shyam's present age.

When Ram was as old as Shyam is now? R-S years ago.

What was Shyam's age then? It was S - (R-S) = 2S - R.

Now, R = 2(2S -R), since "Ram is twice as old as Shyam was when Ram was as old as Shyam is now".

It is your equation, and it gives you, after simplifications, 3R = 4S.

And since Shyam is 18 years now, 3R = 4*18 = 72,  R =  = 24.

Answer.  Ram is 24 years now.  // Shiam is 18 years now.

Check.  When Ram was as old as Shyam is now? 6 years ago.

        What was Shyam's age then? He was 12 years old.

        24 = 2*12.    !  Checked.

For similar problems, see the lessons
    - Age problems and their solutions
    - A fresh formulation of a traditional age problem
    - Really intricate age word problem
    - Selected age word problems from the archive
in this site.


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