Your number would be

0000 or

8214

0000 or

8214

Your number would be

0000 or

8214

0000 or

8214

Thousands place = 1000 (2 x Ones place)

Ones place = 1 x (2 x Hundreds place)

Hundreds place = 100 x (2 x Tens place)

Putting all in terms of ones:

Let x = ones place

x/4 = tens place

x/2 = hundreds place

2x = thousands place

1000 * (2x) + 100 * (x/2) + 10 * (x/4) + 1 *( x) < 10,000

2000x + 50x + 5x/2 + x < 10,000

Multiply both sides by 2

4000x + 100x + 5x + x < 20,000

4106x < 20,000

x < 4.871

Since all place holders are integers, x = 4

Substitute the x value for the given above to return all other place holders

x/4 = 4/4 = 1

x/2 = 4/2 = 2

2x = 2*4 = 8

ones place = 4

tens place = 1

hundreds place = 2

thousands place = 8

The 4 digit number is 8,214

Ones place = 1 x (2 x Hundreds place)

Hundreds place = 100 x (2 x Tens place)

Putting all in terms of ones:

Let x = ones place

x/4 = tens place

x/2 = hundreds place

2x = thousands place

1000 * (2x) + 100 * (x/2) + 10 * (x/4) + 1 *( x) < 10,000

2000x + 50x + 5x/2 + x < 10,000

Multiply both sides by 2

4000x + 100x + 5x + x < 20,000

4106x < 20,000

x < 4.871

Since all place holders are integers, x = 4

Substitute the x value for the given above to return all other place holders

x/4 = 4/4 = 1

x/2 = 4/2 = 2

2x = 2*4 = 8

ones place = 4

tens place = 1

hundreds place = 2

thousands place = 8

The 4 digit number is 8,214

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