Question

Ten less than half of a number(x) is 6.

Answer 1

x = 32

Explanation:

Given the following data;

Unknown number = x

Translating the word problem into an algebraic equation, we have;

`\frac {x}{2} - 10 = 6`

Lowest common denominator (LCD) = 2

We multiply all through by 2;

`2* \frac {x}{2} - 2*10 = 2*6`

`x - 20 = 12`

`x = 12 + 20`

x = 32

Therefore, the unknown number is 32.