Question

Dennis thought of a number. He adds 0.5 to that number and then multiplies the new result by 4. He then subtracts 2 and divides the number by 2. His final answer is 48. What number did Dennis start with?

Answer 1

The equation is stated in the manner indicated in the problem, being as follows:

[(X + 0,5) (4) – 2]/2 = 48

The unknown X is cleared.

X = [(48)(2) + 2/4] – 0,5

X = [(96 + 2)/4] – 0,5

X = (98/4) – 0,5

X = 24,5 – 0,5

X = 24

The number with which Dennis began was 24.