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?
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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.
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