If 2 is added to half of a number, the result is one more than the original number. What is the original number?

2 answers

can I know how do you get the answer mam?
Suppose x is a number. The equation:

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

Solve, (note: (1/2)x is the same as x/2)

x/2 - x = 1 - 2

x/2 - x = -1

2*(x/2 - x) = -1 * 2

x - 2x = -2

-x = -2

x = 2

Verify:
If x = 2 then (1/2)x + 2 = x + 1

(1/2)(2) + 2 = 2 + 1

1 + 2 = 2 + 1

3 = 3 is true.