Question

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

2
-44
-2

Answer 1

The given such number = 2

Explanation:

Let us assume the given number = m

The quotient of the number m and 2 =
`(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 (m)/(2)  = 2m -3\\or, m = 2 (2m -3) = 4 m - 6\\\implies  4m - m = 6\\or, 3 m = 6\\\implies  m = (6)/(3)  = 2`

or, m = 2

Hence the desired such number = 2