word problem

posted by .

in a two digit number, the sum of the digit is 8. the different between this number and the number with the digit reversed is 54, what is the number.

  • word problem -

    n m = 10 n + m

    n+m = 8

    m n = n + 10 m

    n + 10 m - (10 n + m) = 54

    -9 n + 9 m = 54
    -n + m = 6
    but
    +n + m = 8
    ---------- add
    0 +2m = 14
    m = 7
    n = 1
    so
    17

  • word problem -

    original:
    unit digit -- x
    tens digit -- 8-x
    the number: 10(8-x) + x
    the number reversed: 10x + (8-x)

    10x + 8-x - (10(8-x) + x) = 54
    10x + 8 -x - 80 + 10x - x = 54
    18x = 126
    x = 7
    unit digit = 7
    tens digit = 1

    original number 17
    number reversed 71

    or

    original number is 71
    number reversed is 17

    in both cases the difference between them is 54

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Digit Problems

    If the tens digit of a two-digit number is subtracted from the units digit, the difference is 8. The number with the digits reversed is 10 more than nine times the units digit of the original number. Find the number.
  2. word problem

    the different between the digit of a two digit number is 1, the number it self is 1 more than 5 times the sum of the digits, if the unit digit is greater than the tens digit, find the number.
  3. word problem

    the different between the digit of a two digit number is 1, the number it self is 1 more than 5 times the sum of its digits, if the unit digit is greater than the tens digit, find the number.
  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?
  5. 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 has …
  6. college problem solving

    a certain two-digit number is 6 less than the sum of its tens digit and 7 times its units digit. if the digits are reversed the number is increase by 27. fin the original two-digit numbers
  7. kv luchnow

    one of two digit of a two digit number is 5 time other digit if we interchange the digit of is two digit number the resulting new number is 6 more then thrice theoriginal number find two digit original two digit number
  8. maths-word problem

    A two digit number is less than six times the sum of it digit by 1.The difference between the digit is 1. Find the number?
  9. 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
  10. Math

     In a two-digit number the tens digit is two less than the units digit. If the digits are reversed, the sum of the reversed number and the original number is 154. Find the original number.

More Similar Questions