Question
If you subtract 14 from a number and multiply the result by 12, you get 14. What is the number?
Answer: Option C
:
C
Let the number be x.
'Subract¼ from the number'is mathematically written as 'x - ¼'.
Multiplying the above obtained result by½ is mathematically shown as:
'(x - ¼) × ½'.
According to the question,
(x−14)×12=14
⇒x−14=2×14
(by multiplying both the sides by 2)
⇒x−14=12
⇒x=12+14
(by transposing¼ from LHS to the RHS)
⇒x=34
So, the required number is 34.
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:
C
Let the number be x.
'Subract¼ from the number'is mathematically written as 'x - ¼'.
Multiplying the above obtained result by½ is mathematically shown as:
'(x - ¼) × ½'.
According to the question,
(x−14)×12=14
⇒x−14=2×14
(by multiplying both the sides by 2)
⇒x−14=12
⇒x=12+14
(by transposing¼ from LHS to the RHS)
⇒x=34
So, the required number is 34.
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