The other number is -3.
Step-by-step explanation:
Step 1; First we develop formulae for the given information. A number is added with 3 and the resulting sum is multiplied by 4. This number is then divided by 2 and the quotient is 0. Assume the unknown number is x, then the given information is as follows
The quotient of [tex]\frac{4(x+3)}{2}[/tex] is 0. So [tex]\frac{4(x+3)}{2}[/tex] = 0.
Step 2; Now we solve the above equation. The denominator is taken to the RHS and the RHS remains zero.
[tex]\frac{4(x+3)}{2}[/tex] = 0, 4(x+3)= 0, 4x+ 12 = 0, 4x = -12, x = [tex]\frac{-12}{4}[/tex] = -3.
So the other number is -3.