Half the sum of a number and 26 is 15. What is the number?

-11
4
5.5
-22

1 answer

Let's represent the number as x.

The sum of the number (x) and 26 is x + 26.

Half of the sum is (1/2)(x + 26).

Setting this equal to 15:

(1/2)(x + 26) = 15

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

2((1/2)(x + 26)) = 2(15)

Simplifying:

x + 26 = 30

Subtracting 26 from both sides:

x = 4

Therefore, the number is 4.