Question

When 6 is subtracted from four times of a number, the result is 54. What is the number?
(a) 60
(b) 30
(c) 15
(d) 10

Answer 1

Hint: We start solving the problem by assigning the variable for the required number. We then multiply this variable with 4 in order to get the four times the number. We then subtract the obtained result and equate it to 54. We then make the necessary calculations involving addition and division in order to get the value of the required number.

Complete step-by-step answer:
According to the problem, we need to find the number which gives 54 on subtracting the four times of it with 6.
Let us assume the number is ‘x’ and now, we find the four times of this number which is $4\times x=4x$.
Now, let us subtract $4x$ with 6 which is $4x-6$.
According to the problem, we are given that the number $4x-6$ is equal to 54.
So, we have $4x-6=54$.
$\Rightarrow 4x=54+6$.
$\Rightarrow 4x=60$.
$\Rightarrow x=\dfrac{60}{4}$.
$\Rightarrow x=15$.
So, we have found the value of the number as 15.
The correct option for the given problem is (c).

So, the correct answer is “Option (c)”.

Note: Whenever we get this type of problem, we try to start solving it by assuming the variable for the required number and then apply the given conditions. We should not make calculation mistakes while solving this problem. We can also solve this problem by trial and error method using the values given in the options. Similarly, we can expect problems to find what is the percentage of the obtained value in 54.