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If a number is multiplied by two-third of itself the value so obtained is 864. What is the number?
  1. 36
  2. 34
  3. 35
  4. None of these
Explanation

Let the number be x.

Two-third of the number is (2/3)x.

The problem states that multiplying the number by two-third of itself gives 864, so we can set up the equation: x × (2/3)x = 864.

Simplifying the equation, we get: (2/3)x² = 864.

Multiplying both sides by 3/2, we get: x² = 864 × (3/2) = 1296.

Taking the square root of both sides, we get: x = √1296 = 36.

So, the correct answer is: 36

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