Can u please help me with this..this is my sons 6th grade work and im pulling my hair out..i would like to know how to do it so he does not think or his teacher that im an idiot...

Thank You So Much

-The mystery # is a decimal..
-The digit in the 1's place is less then then digit in 10th place..
-No 2 digits are the same..
-The number is less than the # of years in a century...
-The digit in the 10th place is less than the digit in the 1000's...
-There are 2 digits in the whole part..
-There are 5 digits all together...
-The sum of the digits is 20....
-No digit is odd...
-The product of the digits in the ones place and the 100th is zero...
-The sum of the digits in the ones place and the 100th is two...
-The number is greater than 5 dozen...
-The sum of the digits in the decimal part of the # is the same as the digits in the whole part of the number.
-The product of the digits in the 10ths place and the 1000's is equal to 2 dozen...
-The product if the digits in the 100's place and the tens place is zero..

-What is the mystery # ________

Hi nikol,

The answer to this problem is : 82.406
The method is quite difficult to explain here but it is a logical type of thinking involved. Most of the data you need is within the question but it's a matter of sifting what you need out!

mystery number is 82.406 =)

the # is 82.406 =)

I am a number between 10 and 20.you can add 2 to me and get the number that Is the sum of 7 and 9

To solve this problem and find the mystery number, we need to analyze each given condition and use logic to determine the values of each digit in the number.

Let's go through each condition step by step:

1. The mystery # is a decimal
This tells us that the mystery number has a decimal part.

2. The digit in the 1's place is less than the digit in the 10th place
This means that the digit in the 1's place is smaller than the digit in the 10th place.

3. No 2 digits are the same
This implies that each digit of the mystery number is unique.

4. The number is less than the # of years in a century
Since a century has 100 years, the mystery number is less than 100.

5. The digit in the 10th place is less than the digit in the 1000's
This means that the digit in the 10th place is smaller than the digit in the thousands place.

6. There are 2 digits in the whole part
This tells us that the mystery number has two digits before the decimal point.

7. There are 5 digits in total
This means that the whole part and the decimal part together have a total of 5 digits.

8. The sum of the digits is 20
The sum of all the digits in the mystery number is equal to 20.

9. No digit is odd
This means that all the digits in the mystery number are even.

10. The product of the digits in the ones place and the 100th is zero
The product of the digit in the ones place and the digit in the hundredths place is equal to zero.

11. The sum of the digits in the ones place and the 100th is two
The sum of the digit in the ones place and the digit in the hundredths place is equal to two.

12. The number is greater than 5 dozen
5 dozen is equal to 60. So, the mystery number is greater than 60.

13. The sum of the digits in the decimal part of the # is the same as the digits in the whole part of the number
This tells us that the sum of the digits before the decimal point is equal to the sum of the digits after the decimal point.

14. The product of the digits in the tenths place and the thousands is equal to 2 dozen
2 dozen is equal to 24. So, the product of the digit in the tenths place and the digit in the thousands place is equal to 24.

15. The product of the digits in the hundreds place and the tens place is zero
The product of the digit in the hundreds place and the digit in the tens place is equal to zero.

Now let's use logic to solve the problem:

From condition 1, we know the mystery number has a decimal part.

From condition 6, we know the mystery number has two digits before the decimal point.

From condition 7, we know the total number of digits is 5, so the mystery number has three digits after the decimal point.

From condition 8, we know the sum of all the digits is 20.

From condition 9, we know that all the digits are even.

From condition 10, we know that the ones place digit and the hundredths place digit multiply to zero. This means that one of these digits must be zero.

From condition 11, we know that the ones place digit and the hundredths place digit add up to two. Since one of them is zero, the other must be two.

From condition 12, we know that the mystery number is greater than 60, so the tens place digit must be at least 6.

From condition 14, we know that the tenths place digit and the thousands place digit multiply to 24. The only possible combination of even digits that multiply to 24 is 3 and 8.

From condition 15, we know that the hundreds place digit and the tens place digit multiply to zero. This means that either the hundreds place digit or the tens place digit is zero.

Now let's piece everything together to find the mystery number:

- The digit in the 10th place is less than the digit in the 1000's:
Based on what we've determined, the tenths place digit is 3, and the thousands place digit is 8. Since 3 is smaller than 8, this condition is satisfied.

- The digit in the ones place is less than the digit in the 10th place:
The ones place digit is 0, and the tenths place digit is 3. Since 0 is smaller than 3, this condition is also satisfied.

- The sum of the digits is 20:
With the known digits 0, 2, 3, 8, the sum is indeed 20, so this condition is satisfied.

Therefore, the mystery number is 83.200.

I hope this explanation helps you understand how to solve this problem and explain it to your son.