Question
Hal has a positive secret number. He performs a sequence of operations with
his secret number. He doubles the number, subtracts 8, divides by 4, adds 2 and
squares the result to get 25. What is Hal’s secret number?
his secret number. He doubles the number, subtracts 8, divides by 4, adds 2 and
squares the result to get 25. What is Hal’s secret number?
Answers
GPT 3.5
Let's work backwards to find Hal's secret number.
1. We start with 25 and find its square root: √25 = 5.
2. We subtract 2: 5 - 2 = 3.
3. We divide by 4: 3 / 4 = 3/4.
4. We add 8: 3/4 + 8 = 8 3/4.
5. We double the number: 8 3/4 × 2 = 17 1/2.
Therefore, Hal's secret number is 17 1/2.
1. We start with 25 and find its square root: √25 = 5.
2. We subtract 2: 5 - 2 = 3.
3. We divide by 4: 3 / 4 = 3/4.
4. We add 8: 3/4 + 8 = 8 3/4.
5. We double the number: 8 3/4 × 2 = 17 1/2.
Therefore, Hal's secret number is 17 1/2.