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Question


If you subtract 14 from a number and multiply the result by 12, you get 14. What is the number?


Options:
A .   14
B .   24
C .   34
D .   1
Answer: Option C
:
C

Let the number be x.
'Subract  ¼ from the number' is mathematically written as 'x - ¼'.
Multiplying the above obtained result by ½ is mathematically shown as:
'(x - ¼) × ½'.
According to the question,
(x14)×12=14
      x14=2×14 
                    (by multiplying both the sides by 2)
      x14=12
             x = 12+14
                    (by transposing ¼ from LHS to the RHS)
             x = 34
So, the required number is 34.



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