Angel is thinking of a number. All its digit are even numbers. The sum of its digit is 18. The digit 6 stands for sixty. The smallest of the three digits is in the tenths place. The greatest of the three digit is in the ones place. What number is Angel thinking of? ____6___
Your 5th sentence suggests that it is a 3-digit number, and we also know all digits are even.
so far you know:
-6-
it says the greatest is in the one's place and must be even.
Well, since the only even greater than 6 is 8 we now have:
-6 8
and we also know that the sum is 18, which means that the missing number must be 4
so far it must be 468
BUT in the 5th sentence it says that the smallest is in the tenths place, which contradicts "the digit 6 stands for sixty"
I think the question is bogus
To find the number Angel is thinking of, we need to consider the given clues and solve step by step.
1. All the digits are even numbers: The even digits are 0, 2, 4, 6, and 8.
2. The sum of its digits is 18: Since we have three digits, and the sum is 18, we need to find three even numbers that add up to 18.
3. The digit 6 stands for sixty: This means that one of the digits is 6, and it represents sixty.
4. The smallest of the three digits is in the tenths place: The smallest even digit is 0, and since it is in the tenths place, it means it is the middle digit.
5. The greatest of the three digits is in the ones place: Since 6 stands for sixty, it cannot be in the ones place. Therefore, the greatest even digit, which is 8, must be in the ones place.
Let's put all the clues together:
__6_8_
We still need to find the tens place digit. Since the sum of the digits is 18, we can subtract 6 and 8 from 18 to get the remaining digit.
18 - 6 - 8 = 4
Therefore, the tens place digit is 4. Putting it all together, the number Angel is thinking of is:
468