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Q.

The result obtained by adding 4 to twice a number is the same as subtracting 9 from thrice that number. Find that number.


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a

17

b

18

c

12

d

13 

answer is D.

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Detailed Solution

Concept- Let x be the number. Form the equation then using the stated condition, which is that adding 4 to 2x will equal Question Image. The value of x, the necessary number, can then be determined by solving the equation that has been created.
Let the required number be Question Image.
The answer to the question is that adding 4 to 2x equals the difference between 3x and 9.
That is,
Question ImageAdd like terms
Question ImageQuestion ImageDivide both sides by Question ImageQuestion ImageHence, the correct answer is option 4) 13
 
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The result obtained by adding 4 to twice a number is the same as subtracting 9 from thrice that number. Find that number.