Multiple choice

The present age of Aniket's grandmother is nine times two more than Aniket's present age. Nine years hence, six times the Aniket's age will be eighteen more than grandmother's age then. What is the present age of Aniket's grandmother?

  1. 45 years

  2. 54 years

  3. 72 years

  4. 63 years

  5. 75 years
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A Correct answer
Explanation

Let Aniket's age be x. Grandmother's age = 9(x+2) = 9x + 18. Nine years hence: Aniket = x+9, Grandmother = 9x + 27. Equation: 6(x+9) = (9x + 27) + 18 => 6x + 54 = 9x + 45 => 3x = 9 => x = 3. Grandmother's age = 9(3+2) = 45.

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