Question

What is two times the sum of 6 and some number is 30. What would the number be.?

Answer 1

The number is equal to 9

Explanation:

`n-the\ number\\\\\text{two times the sum of 6 and the number}\ n:\ 2(6+n)\\\\\text{The equation:}\\\\2(6+n)=30\qquad\text{divide both sides by 2}\\\\(\\ot2(6+n))/(\\ot2)=(30\!\!\!\!\!\diagup^(15))/(\\ot2_1)\\\\6+n=15\qquad\text{subtract 6 from both sides}\\\\6-6+n=15-6\\\\n=9`

Answer 2

The variable "a number" stands for 9.

Explanation:

Rewrite the problem as 2 * (6 + x) = 30

Divide 30 into 2. 30/2 = 15

That means that the variable that is added to 6 must make the number 15.

15 - 6 = 9

The variable x is 9 so the equation would be:

2 * (6 + 9) = 30