I am a whole number. I am greater than 50. Half of me is less than 30. My digit add up to 9.
What number am I?
The number must be 51, 52, 53, 54, 55, 56, 57, 58, or 59.
What do you think?
To find the number that satisfies the given conditions, we can use a systematic approach to narrow down the possibilities.
First, we know that the number is greater than 50. Let's start by listing some whole numbers greater than 50 and check if they meet the other conditions.
The sum of the digits must be 9, so let's start by looking at numbers that have digits adding up to 9:
- 45 (4 + 5 = 9): Exclude, as it is less than 50.
- 54 (5 + 4 = 9): Possible, let's check the other condition.
- 63 (6 + 3 = 9): Exclude, as it is less than 50.
Now, let's focus on the condition that half of the number is less than 30. We can divide each potential number by 2 and check if the result is less than 30:
- 54 ÷ 2 = 27: Meets the condition.
So, the number that satisfies all the given conditions is 54.
In summary, the number you are is 54. You can verify this by checking that it is a whole number greater than 50, with half of it (27) being less than 30, and the sum of its digits (5 + 4 = 9).