Answer:
The required number is -15.
Step-by-step explanation:
Given : Expression 'Fifteen decreased by the quotient of a number and 3 is 20'.
To find : The number ?
Solution :
Let the number be 'x'.
According to statement,
Fifteen decreased by the quotient of a number and 3 is 20,
[tex]15-\frac{x}{3}= 20[/tex]
Solving the equation by subtracting 15 both side,
[tex]-\frac{x}{3}=5[/tex]
Cross multiply,
[tex]x=-5\times 3[/tex]
[tex]x=-15[/tex]
Therefore, The required number is -15.