Math

I am a number between 1000000 and 2000000. My ones digit is the sum of my tens and hundreds digits and is also the sum of my millions and ten thousands digits.my hundred thousands, thousands, and ones digits are the same.the sum of my digits is 45.what number am i?

  1. 👍 0
  2. 👎 0
  3. 👁 87
asked by Aaron
  1. I am a number between 1000000 and 2000000
    ---> 1 ??? ???
    my hundred thousands, thousands, and ones digits are the same
    ---> 1 x?x ??x

    ---> 1 xax bcx

    My ones digit is the sum of my tens and hundreds digits
    ---> x = b+c

    also the sum of my millions and ten thousands digits
    ---> x = 1 + a

    so we know
    a+1= b+c
    a = b+c - 1

    the sum of my digits is 45
    1 + 3x + a + b + c = 45
    1 + 3(1+a) + a + b + c = 45
    1+3+3a+a+b+c = 45
    4a + b + c = 41
    4(b+c-1) + b + c = 41
    4b + 4c - 4 + b + c = 41
    5b + 5c = 45
    b+c = 9
    c = 9-b


    so we have :
    c = 9-b
    a = b+c-1
    x= a+1

    let b = 0, c = 9 ,a = 8 , x = 9 --> 1,989,099
    let b = 1, c = 8, a = 8, x = 9 ---> 1,989,189
    let b = 2, c = 7, a = 8, x = 9 ---> 1,989,279
    ...
    let b = 8, c = 1, a = 8 , x = 9 ---> ..........
    let b = 0 , c = 9, a = 10 not possible

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    I am a number between 1000000 and 2000000. My ones digit is the sum of my tens and hundreds digits and is also the sum of my millions and ten thousands digits.my hundred thousands, thousands, and ones digits are the same.the sum

    asked by Aaron on June 24, 2016
  2. maths

    Find the sum of all 3-digit positive numbers N that satisfy the condition that the digit sum of N is 3 times the digit sum of N+3. Details and assumptions The digit sum of a number is the sum of all its digits. For example, 1123

    asked by rohit on March 21, 2013
  3. math

    The number uses every number 0-9 the numbers are used only once the fourth digit is 4 the first digit in the billions place is 3 the 5 is next to the last digit the sixth digit is 7 the digit after 3 is 9 the digit before 5 is

    asked by Anonymous on October 20, 2011
  4. singapore math

    My 3rd grade son get this math problem. It states that John thinks of a 3-digit number. What is his number? Use the clues below to find John's number. Every digit is different. The sum of all thedigits is 19. The difference

    asked by lori on November 4, 2012
  5. Math

    John chooses a 5-digit positive integer and deletes one of its digits to make a 4-digit number. The sum of this 4-digit number and the original 5-digit number is 52713. What is the sum of the digits of the original 5-digit number?

    asked by Amitabha on March 12, 2016
  6. Algebra - Math HW HELP!

    1) It is a five-digit whole number. 2) It is a palindrome. 3) Its tens digit is the cube root of a one-digit number. 4) The product of its hundreds digit and its ones digit is 54. 5) The sum of its hundreds digit and its ones

    asked by Nomad on June 2, 2014
  7. maths

    In a tree digit number, the tens digit is thrice the units and the hundred digit its time the unit digit .also the sum of its digit is16 .find the number.

    asked by nishant on August 10, 2014
  8. algebra

    The sum of the digit of A three digit number is 20 .the middle digit is equal to one fourth the sum of the other two. If the order of the digi be reversed the number increases the original number by woo .find the original number

    asked by pratik on February 3, 2017
  9. Algebra

    Let S(N) denote the digit sum of the integer N. Let M denote the maximum value of N/S(N), where N is a 3-digit number. How many 3-digit numbers N satisfy N/S(N)=M? The digit sum of an integer is the sum of all its digits. For

    asked by Stranger on March 18, 2013
  10. Math

    It is a 5 digit no. ,palindrome,divisible by 4,10 digit is cube root of 1 digit,product of 100 digit and 1 digit is 54 ,sum of hundred and ones digit is 15.what is the number?

    asked by Pooja on October 25, 2009

More Similar Questions