Half the sum of a number and 10 is 8. Find the number.(1 point)

Responses

3

6

2

-2

1 answer

Let's denote the number as \( x \).

According to the problem, half the sum of the number and 10 is 8. We can write this as an equation:

\[ \frac{x + 10}{2} = 8 \]

To eliminate the fraction, we can multiply both sides of the equation by 2:

\[ x + 10 = 16 \]

Next, we can solve for \( x \) by subtracting 10 from both sides:

\[ x = 16 - 10 \] \[ x = 6 \]

Therefore, the number is \( 6 \).

The response is: 6