math

posted by .

a number has 4 digits.
no digits in the number are repeated.
the digit in the tens place is three times the digit in the thousands place.
the number is odd.
the sum of the digits in the number is 27.
what is the number?

I started with the 10s and 1000s place. To sum up to 27, the average value of the numbers needs to exceed 27/4 or almost 7. This leads me to reject 1 and 3 or 2 and 6 for 3 and 9. Now the last number has to be odd, but not 3, 9 or 1 (because it is too small).

This left me with 3x9x. If I put 5 in the ones column, I would need 10 in the hundreds column to = 27. Therefore I chose 7.

This left me with 3x97. To equal 27, 8 would fit into the hundreds column, giving me 3897.

I hope giving these steps will help you to solve similar problems in the future. Thanks for asking.

  • math -

    I hope this is the answer because my homework is due Monday the 16th 2009 and I want stars..........:|

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    What mystery number has 8 digits; none of the digits are the same. It is evenly divisible by 10. The value of one of the digits is 80,000. The digits in the millions place is the largest 1-digit odd number. The digit in the thousands …
  2. Math

    You can only use the digits 0-9. I need an odd number that is a multiple of five with no repeated digits. Half the digits are odd and the other half is even. The largest digit in the number is in the tens place (but it is not the largest …
  3. 5th Grade Math

    Not only need answer but need to know how you teach a 5th grader how to solve this problem. You can only use the digits 0-9. I need an odd number that is a multiple of five with no repeated digits. Half the digits are odd and the other …
  4. 5th Grade Math

    Not only need answer but need to know how you teach a 5th grader how to solve this problem. You can only use the digits 0-9. I need an odd number that is a multiple of five with no repeated digits. Half the digits are odd and the other …
  5. math

    *The number has 8 digits, none of the digits are the same. *It is evenly divisible by 10. *The value of one of the digits is 80,000 *The digit in the millions place is the largest 1-digit odd number. *The digit in the thousands place …
  6. math

    Get the number right. *None of the digits repeat. *It is between 20,000 and 77,777 *The digit in the thousands place is 3 times the digit in the ten thousands place *The ones digit is a prime number *The hundred digit is half the sum …
  7. math

    The number has 8 digits none of the digits are the same 2. It is enemy divisible by 10 3. The value of one of the digits is 80,000 4. The digit in the millions place is the largest 1-digit odd number 5. The digit in the thousands place …
  8. math

    A5-digit number has 7 in its place The digit in once place is 5 less than its digits at tens place The hundreds place digit is 4 times the digit at once place The digit at thousands place is the same as at hundreds place sum of all …
  9. Mystery number

    I have nine digits. The digit in the tens place is the value of any number times zero. The value of one of the digits is 40,000. The value of the hundred-thousands place is ten times the digit in the ten-thousand place. The digit in …
  10. math

    The number has 6 digits. The nuber is less than 300000. 10 is a factor of the number. The hundred thousands and ten thousands digit are the same and are odd. The tens digit is a cube number and is one more than the thousands digit. …

More Similar Questions