Question

The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?

Answer 1

Answer:

The given such number =  2

Step-by-step explanation:

Let us assume the given number  = m

The quotient of the number m and 2 = $\frac{m}{2}$

The difference of the number doubled and 3 = 2 (number) -  3  = 2 m - 3

Now, according to the question:

Quotient of number and 2  = Difference of the number doubled and  3

$\implies \frac{m}{2} = 2m -3\\or, m = 2 (2m -3) = 4 m - 6\\\implies 4m - m = 6\\or, 3 m = 6\\\implies m = \frac{6}{3} = 2$

or, m = 2

Hence the desired such number =   2