SOLUTION: Ram said to Rahul 'i am twice as old as you were when i was as old as you are'.if the sum of their ages is 50 years.find their ages.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Ram said to Rahul 'i am twice as old as you were when i was as old as you are'.if the sum of their ages is 50 years.find their ages.      Log On


   

Question 639490: Ram said to Rahul 'i am twice as old as you were when i was as old as you are'.if the sum of their ages is 50 years.find their ages.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
One thing you know for sure is the difference in
their ages is always the same.
Let +x+ = Rahul's age now
Ram's age is +50+-+x+
The difference in their ages is +50+-+x+-+x+=+50+-+2x+
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Ram is saying " when I was as old as you are "
Rahul is +x+ years old
If Ram is +50+-+x+ now, how long ago was he +x+ years old?
That would be +50+-+2x+ years ago, since
+50+-+x+-%28+50+-+2x+%29+=++x+
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How old was Rahul then?
He was +x+-%28+50+-+2x+%29+=+3x+-+50+ years old
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And Ram says "I am twice that old" so,
+50+-+x+=+2%2A%28+3x+-+50+%29+
+50+-+x+=+6x+-+100+
+7x+=+150+
+x+=+21.429+
+50+-+x+=+28.57+
Ram is about 28 and 7 months
Rahul is about 21 and 5 months
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check:
The difference in their ages is +50+-+2x+
+50+-+2%2A%28+21.429+%29+=+50+-+42.858+
+50+-+42.858+=+7.142+
and
+28.57+-+21.429+=+7.141+
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Hope my logic stands up