Question

I have 5 digits in my number. I do not have any tens. My digits add upto the product of 2 and 6. My biggest place has a value of 30,000. Myhundreds and thousands place adds up to three. The value of mythousands place is bigger than my hundreds. I only have one 0 in mynumber. The sum of my ten thousands, thousands, and hundredsequals the value of my ones place.

Answer 1

Let's begin by listing out the information given to us:

I have 5 digits in my number means the number is XXXXX (10,000 - 99,999)

No tens: the place value of 'tens' is zero

My digits add up to the product of 2 and 6: 2 * 6 = 12

`\begin{gathered} \Sigma X=2\cdot6=12 \\ \Sigma X=12 \end{gathered}`

My biggest place has a value of 30,000: this restricts the number to lie between 10,000 - 30,000

My hundreds and thousands place adds up to three: this can either be 2 + 1 or 1 + 2 or 0 + 3 or 3 + 0

The value of my thousands place is bigger than my hundreds: this implies that it is 2 + 1 or 3 + 0

I only have one 0 in my number: this cannot be in the 'ten thousands' place, it is the 'tens' place value (I do not have any tens)

The sum of my ten thousands, thousands, and hundreds equals the value of my ones place: the value of the 'ones' place is 6, the value of the 'ten thousands' is 2, the value of the 'thousands' is 3, the value of the 'hundreds' is 1

Hence, the number is 23,106 (remember that "My biggest place has a value of 30,000")