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

A: 3
B:6
C:2
D-2

1 answer

To solve this problem, let's translate the given information into an equation.

Let's represent the number as "x."

The sum of the number and 10 is x + 10.

Half of this sum is (1/2)(x + 10).

According to the problem, this value is equal to 8.

Therefore, we have the equation:

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

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

x + 10 = 16

Next, subtract 10 from both sides of the equation to isolate x:

x = 16 - 10

x = 6

Therefore, the number is 6.

The correct answer is B) 6.