math

In a three digit number, the hundreds digit is twice the units digit. If the digits are reversed, the new number is 396 less than the original number. Find the number.

  1. 👍
  2. 👎
  3. 👁
  1. let the unit digit be x
    then the hundred digit is 2x
    let the tens digit by y

    so the number is 100(2x) + 10y + x
    = 201x + 10y

    the number reversed is
    100(x) + 10y + 2x
    = 102x + 10y

    201x+10y - (102x+10y) = 396
    99x = 396
    x = 4
    looks like y can be any digit from 0 to 9

    the original number could be
    814, reverse = 418 , difference = 396
    874, reverse = 478, difference = 396
    etc

    1. 👍
    2. 👎
  2. 246

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    A three- digit number is eleven times the two-digit formed by using the hundreds and the units digit of the three - digit number respectively, in the tens and units place of the two - digit number. If the difference between the

  2. Algebra

    In a three digit number, the hundreds digit is twice the units digit. If the digits are reversed, the new number is 396 less than the original number. Find the number.

  3. math

    it is a 6 digit number. there is no repetition of digits. It is divisible by 5 and is more than 3000,000. The digit in the hundreds place is 3 more than the digit in the ones place. The digit in the ten thousands place is 3 times

  4. Mathe

    The number has two digits. Both of the digits are even.the digit in the tens place is greater that the digit in the unit (or ones) place.the units (or ones digit) is not in the three times table. The tens digit is not double the

  1. math

    Five three digit numbers including N were to be added. While adding, the reverse of N was added by mistake instead of N. Hence the summ increased by 11 times the summ of the digits of N.Eight times the difference of N's units and

  2. Math

    What is the three digit mystery number? Clues: It is less than 300, the tens digit is 4 more than the hundreds digit, the sum of the digits is 9, the hundreds digit is 2 less than the ones digit.

  3. Math

    sum of the digits of a three-digit number is 20. If the hundreds and unit digits were interchanged, the resulting number is 297 less than the original. Find the number if the hundreds digit exceeds the tens digit by one.

  4. Math

    1. Is 26 divisible by 2? A. No. B. Yes, because 2 + 6 = 8 and 8 is divisible by 2. C. Yes, because the last digit is 6, which is divisible by 2. 2. Is 216 divisible by 3? A. No. B. Yes, because the sum of 2 + 1 + 6 = 9, which is

  1. Mathematics

    It’s less than 300 The ones digit 4 times the hundred digit The tens digit is 5 more than the hundreds digit The sum of the digits is 17

  2. math

    i have four digits i am more than 2500 i am less than 3000 my hundred digits id 6 my tens digit is one less than my hundreds digit my unit digit is 0 what number am i?

  3. Mathematics

    A three digit number is such that twice the hundreds digit is more the teens digit by two.The unit digit is thrice the hundreds digit.When the digits are reversed the number is increased by 594.Find the number ?

  4. Math

    Iam a 5digit number my tens digit is the sum of my hundreds digits and thousands digits my tens digit is twice my ones digit. My hundreds digit is 1more than zero.my thousands digit is seven times my hundreds digit.my ten

You can view more similar questions or ask a new question.