Be a math detective and use the clues at the right to find the 7 digits number what is the number? this 7 digits number is 892 when rounded to the nearest ten thousands. the digits in the tens and hundreds places are the least and same value. the value of the thousands digit is double that of the ten thousands digit. the sum of all its digits is 24

The number is 8924001

Step-by-step explanation:

* Lets explain how to solve the problem

- The number is 7 digits number

- When it rounded to the nearest ten thousands the answer

  is 8920000

- The digits in the tens and hundreds places are the least and

  same value

- The value of the thousands digit is double that of the ten thousands

 digit

- The sum of all its digits is 24

* At first lets find the sum of the digits of the rounded number

∵ The sum of the digits of 8920000 = 8 + 9 + 2 = 19

∵ The sum of all digits of the number before rounding is 24

∴ The sum of the unit digit, tens digit, hundreds digit and

   thousands digit = 24 - 19 = 5

∴ u + t + h + th = 5, where u is the unit digit, t is the tens digit, h is

  the hundreds digit and th is the thousands digit

∵ The value of the thousands digit is double that of the ten

   thousands digit

∵ The ten thousands digit is 2

∴ The thousands digit = 2 × 2 = 4

∴ u + t + h + 4 = 5 ⇒ subtract 4 from both sides

∴ u + t + h = 1

∵ The digits in the tens and hundreds places are the least

   and same value

∵ The least digit is 0

∴ tens and thousands digits are 0

∴ u + 0 + 0 = 1 ⇒ u = 1

∴ The unit digit is 1

∵ the number is 892(th)(h)(t)(u)

∴ The number before rounding is 8924001

11 feet 6 inches and 8 feet 6 inches