If a number is multiplied by two-third of itself the value so obtained is 864. What is the number?
- 36
- 34
- 35
- 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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