Reasoning: What number am I? my tens digit is double my ones digit. I am less than 70 and greater than 60
It's one of these numbers:
61, 62, 63, 64, 65, 66, 67, 68, 69
Which is the only number that the tens digit is two times the ones digit?
62
To determine the number, let's break down the given information step by step.
First, we know that the tens digit is double the ones digit. Let's assume the ones digit is "x." Then, the tens digit would be "2x."
Next, we are told that the number is less than 70 and greater than 60. Since the tens digit is greater than or equal to 0 and less than or equal to 9, the possible range of values for the tens digit "2x" is between 20 and 90 (inclusive).
To find the number that satisfies all the given conditions, we need to look for a number within this range where the tens digit is double the ones digit.
Let's examine the possibilities:
- For "x = 0," the tens digit would also be 0, which doesn't satisfy the condition since the tens digit needs to be greater than 0.
- For "x = 1," the tens digit would be 2. Thus, the number would be 21, which satisfies all the conditions.
- For "x = 2," the tens digit would be 4. Thus, the number would be 42, which satisfies all the conditions.
- For "x = 3," the tens digit would be 6. Thus, the number would be 63, which is greater than 60 but not less than 70. Therefore, it doesn't satisfy all the conditions.
- For "x = 4," the tens digit would be 8. Thus, the number would be 84, which is greater than 60 but not less than 70. Therefore, it doesn't satisfy all the conditions.
- For "x = 5," the tens digit would be 10. However, since the tens digit cannot be double digits, this doesn't satisfy the condition.
Based on the above analysis, the only valid number that satisfies all the conditions is 42.