Question

Please help. 3 more than 2 times a number is equal to that number plus 4. What is the number?

Answer 1

Answer:

Let n = the unknown number.

The English sentence, "Three more than twice a number n is equal to the number n," can be translated mathematically into the following equation:

2n + 3 = n

Subtracting 3 from both sides, we get:

2n + 3 - 3 = n - 3

2n + 0 = n - 3

2n = n - 3

Now subtract n from both sides to isolate and solve for n:

2n - n = n - n - 3

(2 - 1)n = 0 - 3

(1)n = -3

n = -3

CHECK:

2n + 3 = n

2(-3) + 3 = -3

-6 + 3 = -3

-3 = -3

Therefore, n = -3 is the desired number.

Answer 2

Answer:

number is 1

Step-by-step explanation:

let the number be n , then 2 times the number is 2n and 3 more than this is

2n + 3 , so

2n + 3 = n + 4 ( subtract n from both sides )

n + 3 = 4 ( subtract 3 from both sides )

n = 1

That is the number is 1