Answer:
The number is 8924001
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