i am an even number between 50 and 99. i am a multiple of 9. my tens digit is 5 more than my units digit. what am i?
63
Let's solve this step-by-step:
1. We need to find an even number between 50 and 99 that is a multiple of 9.
2. Let's list down the multiples of 9 between 50 and 99: 54, 63, 72, 81, 90.
3. Now we need to find the number whose tens digit is 5 more than its units digit.
4. Let's check the tens and units digits of each number we listed:
- 54: The tens digit (5) is 5 more than the units digit (4). However, it's not an even number.
- 63: The tens digit (6) is not 5 more than the units digit (3).
- 72: The tens digit (7) is 5 more than the units digit (2). But it's not an even number.
- 81: The tens digit (8) is not 5 more than the units digit (1).
- 90: The tens digit (9) is 5 more than the units digit (0). It is an even number.
5. Therefore, the number that satisfies all the given conditions is 90.
To find the answer, let's break it down step by step:
First, we know that the number is between 50 and 99, meaning it falls in the range of 51 to 98 inclusively.
Second, we know that the number is a multiple of 9. So, let's find all the multiples of 9 within our range:
51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96.
Third, we need to find a number where the tens digit is 5 more than the units digit. Let's go through the multiples of 9 from the previous step and see which one satisfies this condition:
51 → 5 + 1 = 6 (Not a match)
54 → 5 + 4 = 9 (Doesn't satisfy the condition)
57 → 5 + 7 = 12 (Doesn't satisfy the condition)
60 → 6 + 0 = 6 (Not a match)
63 → 6 + 3 = 9 (Doesn't satisfy the condition)
66 → 6 + 6 = 12 (Doesn't satisfy the condition)
69 → 6 + 9 = 15 (Doesn't satisfy the condition)
72 → 7 + 2 = 9 (Doesn't satisfy the condition)
75 → 7 + 5 = 12 (Doesn't satisfy the condition)
78 → 7 + 8 = 15 (Doesn't satisfy the condition)
81 → 8 + 1 = 9 (Doesn't satisfy the condition)
84 → 8 + 4 = 12 (Doesn't satisfy the condition)
87 → 8 + 7 = 15 (Doesn't satisfy the condition)
90 → 9 + 0 = 9 (Doesn't satisfy the condition)
93 → 9 + 3 = 12 (Doesn't satisfy the condition)
96 → 9 + 6 = 15 (Doesn't satisfy the condition)
From this, we can see that none of the multiples of 9 within the range of 50 to 99 satisfies the condition. Therefore, there is no number that meets all the given criteria.
multiples of 9 that work:
54,63,72,81
now finish it off