One is added to six times some number and the result is the sum of the number and 6

Question

One is added to six times some number and the result is the sum of the number and 6

Answer 1

Hello, Robert,

We'll translate the words into an equation.

"One is added to six times some number"

can be written as "1 + 6x", where the "number" is "x."

"the result is the sum of the number and 6"

can be written as

"= x + 6"

Putting the two together, we get:

1+6x = x + 6

Rearranging,

5x = 5

x = 1

Check the result: 1+6*(1) = x + (1) ??

Yes, One is added to six times some number and the result is the sum of the number and 6

Bob

Answer 2

Let n be the number we are looking for. 6n represents 6 times the unknown number. The left side of the equation is 6n + 1 which is equal to the unknown number n + 6.

So, 6n + 1 = n + 6

Solve for n to get n = 1

Prove by substituting 1 for n into the original equation.

Answer 3

Hi Robert,

In order to figure out what the value of the number is, here's how I would approach the problem:

"One add to six times some number" --> 1 + 6x

"Sum of the number and six" --> x + 6

Now we can set these expressions equal to each other and solve for x:

1 + 6x = x + 6

5x = 5

x = 1