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Q.

The sum of the number and its half is 84. Number will be



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a

65

b

56

c

66

d

None of these 

answer is B.

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Detailed Solution

Concept- A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation. We can perform mathematical operations like addition, subtraction, and division using it as well.
The most commonly used number systems are the decimal number system, binary number system, octal number system, and hexadecimal number system.
Use the condition in the question that the total of the given number and its half is 84 and the given number  x. In order to find the unknown number, create the equation using the conditions mentioned above.
Let x be the number and x2  be its half.
We may create the equation below using the condition provided in the question:
x2+x=84
3x2=84
3x=168
x=56
So the number is 56
Hence, the correct option is 2) 56
 
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