Question

I am a $5-\mathrm{digit}$ number. My ones digit is $3$. My hundreds digit is $2$ times my ones digit. My tens digit is the sum of ones digit and hundreds digit. My thousands and ten thousands digit is one less than the hundreds digit.

1. What number am I?
2. Write my successor.
3. Am i greater than or less than the number, “ fifty-five thousand nine hundred thirty-six”?
4. Rearrange my digits to write the smallest number of five digits.

Answer 1

Step I: Finding the number.

The number is having $5-\mathrm{digit}s$.

One's digit$=3$.

My hundreds digit is $2$ times my ones digit$=2\times 3=6$.

My tens digit is the sum of ones digit and hundreds digit$=3+6=9$

My thousands and ten thousands digit is one less than the hundreds digit$=6-1=5$.

Arranging the number according to the place value chart,

The number is $55693$.

Step II: Finding the successor of $55693$.

The successor of a given whole number is a number $1$ more than the given number.

The successor of $55693$$=55693+1=55694$.

Step III: Checking whether $55693$ is greater than or less than “ fifty-five thousand nine hundred thirty-six”.

Fifty-five thousand nine hundred thirty-six can be written as $55936$.

So, comparing $55693$ and $55936$.

Here, the ten thousands and thousands places are same.

So, we will compare the hundreds place. The hundreds place digit in $55693$ and $55936$ is $6,9$ respectively.

Hence, $55693<55936$.

Therefore, $55693$ is less than $55936$.

Step IV: Rearranging the digits of $55693$ to obtain the smallest five-digit number.

Arranging the digits of $55693$ in increasing order we get, $35569$.

So, the smallest five-digit number formed from $55693$ is $35569$.