This number has 7 digits
The digit in the ten thousands place is 9
The digit in the hundreds place is 3 times greater than the digit in the ones place
The digit in the millions place is the difference between the tens place and the thousands place
The hundreds thousands place is the same as the tens place
The tens place is 4 more than the ones place
The digit in the ones place is 6 less than the digit in the hundred thousands place
The digit in the thousands place is 5
What is the mystery number
To find the mystery number, let's break down the clues and analyze each digit's value:
- The digit in the millions place is the difference between the tens place and the thousands place.
- Let's assume the digit in the millions place is "x".
- Since the thousands place is given as 5, and the tens place isn't provided yet, we don't have enough information to determine the value of "x".
- The digit in the hundred thousands place is the same as the tens place.
- Let's assume the digit in the hundred thousands place is "y".
- Since the tens place isn't provided yet, we don't have enough information to determine the value of "y".
- The digit in the ten thousands place is 9.
- Since the digit in the ten thousands place is clearly given as 9, we know the value of "9" for this place.
- The digit in the thousands place is 5.
- Since the digit in the thousands place is clearly given as 5, we know the value of "5" for this place.
- The tens place is 4 more than the ones place.
- Let's assume the digit in the tens place is "z", and the digit in the ones place is "w".
- We have two conditions: "z" is 4 more than "w", and we don't know the exact values of "z" and "w" yet.
- The digit in the hundreds place is 3 times greater than the digit in the ones place.
- Let's assume the digit in the hundreds place is "v".
- We have one condition: "v" is 3 times greater than "w".
- The digit in the ones place is 6 less than the digit in the hundred thousands place.
- Given this condition, we know that "w" is 6 less than "y".
Based on the given information, there isn't enough to definitively determine the mystery number. We have some clues and assumptions, but we are missing key values (e.g., the exact values of "x", "y", "z", and "w").
7 digits
xxxxxxx
digit in the ten thousands place is 9
..9....
The digit in the thousands place is 5
..95...
Now we are down to
vw95xyz
The hundreds thousands place is the same as the tens place: y=w
vw95xwz
digit in the hundreds place is 3 times greater than the digit in the ones place
x=3z
The digit in the millions place is the difference between the tens place and the thousands place
v = w-5
The tens place is 4 more than the ones place
w=z+4
The digit in the ones place is 6 less than the digit in the hundred thousands place
z = w-6
So, now we are left with these equations:
x=3z
v = w-5
w = z+4
z = w-6
I suspect a typo. The last two equations cannot both be true.