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

I am having trouble figuring out the number in ones place,if I have that I can easily figure out the rest. I do understand the relationship between each number. Please help!

1. 👍
2. 👎
3. 👁
1. The digit in the hundreds place is 3 times greater than the digit in the ones place.

The digit in the ones place is 6 less than the digit in the hundred thousands place.

If you mark digit in the one place with x and digit in the hundreds place with h
this mean:

h = 3 x

and

x = h - 6

Replace x = h - 6 in the equation

h = 3 x

h = 3 * ( h - 6 )

h = 3 h - 3 * 6

h = 3 h - 18 Add 18 to both sides

h + 18 = 3 h - 18 + 18

h + 18 = 3 h Subtract h to both sides

h + 18 - h = 3 h - h

18 = 2 h Divide both sides by 2

18 / 2 = 2 h / 2

9 = h

h = 9

x = h - 6 = 9 - 6 = 3

x = 3

The digit in the ones place = 3

The digit in the hundreds place = 9

Now:

The tens place is 4 more than the ones place = 3 + 4 = 7

The tens place = 7

The digit in the ones place is 6 less than the digit in the hundred thousands place mean:

x = The hundred thousands place - 6

x = The hundred thousands place - 6 Add 6 to both sides

x + 6 = The hundred thousands place - 6 + 6

x + 6 = The hundred thousands place

3 + 6 = The hundred thousands place

9 = The hundred thousands place

The hundred thousands place = 9

The digit in the thousands place is 5

The digit in the millions place is the difference between the tens place and the thousands place mean:

The digit in the millions place = The tens place - The thousands place

The digit in the millions place = 7 - 5 = 2

The digit in the ten thousands place is 9

So:

The digit in the millions place = 2

The hundred thousands place = 9

The digit in the ten thousands place = 9

The digit in the thousands place is 5

The digit in the hundreds place = 9

The in the tens place = 7

The digit in the ones place = 3

The mystery number = 2 995 973

1. 👍
2. 👎
2. Thank you very much. This is brilliant!

1. 👍
2. 👎
3. 1,495,342

1. 👍
2. 👎

## Similar Questions

1. ### math

Form the greatest possible 5-digit number using the clues.All five digits are different. None of the five digit are 1.The digit in the ten thousands place is greater than 7.The sum of all five digit is 18.The greatest digit is

2. ### math

The number has 6 digits. The nuber is less than 300000. 10 is a factor of the number. The hundred thousands and ten thousands digit are the same and are odd. The tens digit is a cube number and is one more than the thousands

3. ### Mathe

The number has two digits. Both of the digits are even.the digit in the tens place is greater that the digit in the unit (or ones) place.the units (or ones digit) is not in the three times table. The tens digit is not double the

4. ### Math

It is a 6 digit number the least digit is in the thousands place. The greatest digit is in the ones place. The digit in the tens place is 5 less than the digit in the ones place. The digit in the hundred thousands place is greater

1. ### stonegate math

I m a 4- digit number. My ones digit is 2. My ten digit is 4 great than my ones digit. My hundreds and thousands digit are both 3 greater than my ones digit. What number am I

2. ### mathematics

I am a five digit number. Digit at ones place is same as digit at tens place and their sum is 2. Digit at ten thousands place is the largest one digit even number. Face value of the digit at hundreds place is 3. Difference of

3. ### Math

In 748,719 change the digit in the thousands place so that the value of the new digit represents 1/10 of the value of the digit in the ten thousands place write the new # to the right.

4. ### Math

The greatest place value is ten thousand. The digit in the tens place is 4. The remaining digits are 5,3,and 7. One of the digits has a value of 700. The value of the digit in the thousands place is 10 times greater than this.

1. ### math

ann wrote a three digit number. the digit inthe hendreds place is 4 less than the digit in the ones place. the digit in the tens place is two more than the digit in the ones place.the sum of the three digits is 16. what is the

2. ### math

use the clues to find the 7th digit mystery number. * it is between 7 and 8 million * it contains all of the digits greater than 1 and less than 8 * the hundred thousands digit is 3 * the ten thousands digit and the thousand

3. ### math

it is a 6 digit number. there is no repetition of digits. It is divisible by 5 and is more than 3000,000. The digit in the hundreds place is 3 more than the digit in the ones place. The digit in the ten thousands place is 3 times

4. ### math

What mystery number has 8 digits; none of the digits are the same. It is evenly divisible by 10. The value of one of the digits is 80,000. The digits in the millions place is the largest 1-digit odd number. The digit in the