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Ten years ago, Kumar was thrice as old as Sailesh was but 10 years hence, he will be only twice as old. Find Kumar’s present age ?
 

  • A.60 years
  • B.70 years
  • C.80 years
  • D.90 years

Answer: B

Let Kumar’s present age be "\(x\)" years and Sailesh’s present age be "\(y\)" years.
Then, according to the first condition,

\(x - 10 = 3(y - 10) => x - 3y = - 20 ........(1)\)

Now, Kumar’s age after 10 years = \((x + 10)\) years.

Sailesh’s age after 10 years = \((y + 10)\) years.

\((x + 10) = 2 (y + 10) => x - 2y = 10 ......(2)\)

Solving (1) and (2),

we get \(x\) = 70 and \(y\) = 30

Kumar’s present age = 70 years    and  Sailesh’s present age = 30 years.
 

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