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.
(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.