Five years ago Ravi's age was three times Raj's age.After five years Ravi's age will be double Raj's age.Find their present ages.

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Let the age of Raj 5 yrs ago = x yearsthen, Ravi's age 5 yrs ago = 3x yearsNow, present age of Raj = x + 5 yrs        present age of Ravi = 3x + 5 yrsRaj's age after 5 yrs = x + 5 + 5 years = x + 10 yrsRavi's age after 5 yrs = 3x + 5 + 5 years = 3x + 10 yrsAccording to question:3x + 10 = 2 x + 10 3x + 10 = 2x + 20 3x - 2x = 20 - 10 x = 10So, present age of Raj = 10 + 5 = 15 yearspresent age of Ravi = 3 × 10 + 5 = 35 years.  

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Let Raj's Age = X

Five years ago Raj's age = X-5

Five years ago Ravi age = 3(X-5) =3X-15

Ravi's present age is 3X-15 +5 = 3X-10........ (1)

After five years Raj Age = X+5

From (1) above after five years Ravi's age = 3X-10 +5 = 3X-5

But given, 3X-5 = 2 (X+5)

Therefore 3X-5 = 2X+10

or X= 15

Therefore Raj's presesnt age is 15 and Ravis pesesnt age is 3*15-10 = 35 (Ans)

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