Question

If 4 is subtracted from three times of a given number, then the result obtained is 11. Find the value of the given number?

Answer 1

Hint: We start solving the problem by assigning a variable for the required number. We multiply this variable with 3 to get three times of the number. We then subtract 4 from the obtained result and equate it to the value 11. We then make necessary calculations required to get the desired result.

Complete step by step answer:
According to the problem when we subtract 4 from three times a number, it gives 11. We need to find the value of that number.
Let us assume the number is ‘x’. We multiply this number with 3 to get the three times of a number.
So, we get $x\times 3=3x$.
We need to subtract 4 from the obtained number $3x$. So, we get $3x-4$ after subtracting 4.
According to the problem, the number $3x-4$ is equal to 11. And we need to solve for the value of ‘x’.
So, we have $3x-4=11$.
$\Rightarrow 3x=11+4$.
$\Rightarrow 3x=15$.
$\Rightarrow x=\dfrac{15}{3}$.
$\Rightarrow x=5$.
So, we have found the value of x as 5.

∴ The value of the required number is 5.

Note: We should not make calculation mistakes while solving the problem. We should not get confused with addition, subtraction, multiplication and division at the steps wherever required. Similarly, we can expect problems involving division, square, subtracting number from squared number. Whenever we get this type of problem, we must start by assigning the variable to the general form of the final result.