Answer:
Given that,
The product of a number and 6 equals twice the result of the sum of the number and 6.
Let the number be x,
product of a number and 6 is 6x.
sum of the number and 6 is x+6.
we get,
[tex]6x=2(x+6)[/tex]a) The equation could be used to find the number is,
[tex]6x=2(x+6)[/tex]b) On solving the above equation we get,
[tex]6x=2x+12[/tex][tex]6x-2x=12[/tex][tex]4x=12[/tex][tex]x=3[/tex]The number is 3.
Answer is: 3