Question

Two more than a number is the same as 16 decreased by 6 times the number. Find the number .

Answer 1

We can write this as an equation:
X+2=16-6x
We got his equation by representing “a number” as x and using the various key words to build the equation.
2 more than a number can be represented as x+2 because “more than” emphasizes adding and “a number” is written as x.
We can write 16 decreased by 6 times the number as 16-6x because “decreased” emphasized subtracting and “times” emphasizes multiplication. We can write the multiplication of a number and a unknown number by just writing them together.
Now that we have our equation, let’s solve.
Subtract 2 on both sides.
X=14-6x
Add 6x on both sides.
7x=14
Divide both sides by 7.
X=2
Hope his helps!