Half the sum of a number and 10 is 8. Find the number.

3

6

2

-2

1 answer

Let's call the number we are trying to find x. The problem states that half the sum of the number and 10 is 8, so we can write the equation:

(1/2)(x + 10) = 8

To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction:

x + 10 = 16

Next, subtract 10 from both sides of the equation:

x = 6

Therefore, the number is 6.