Posted by **becky** on Monday, September 29, 2008 at 9:46pm.

My thousands digit is twice my hundreds digit. The sum of my tens and ones digit is my thousands digit. My hundreds digit is 2 more than my tens digit. My tens digit is greater than 1 and less than 3. What 4 digit number am I?

- math -
**Trevor**, Monday, September 29, 2008 at 10:53pm
8,426.

Let x represent the hundreds digit.

My thousands digit is twice my hundreds digit --> Thousands= 2X

Hundreds= X

My hundreds digit is 2 more than my tens digit. --> Tens= X-2

Ones= Y

The sum of my tens and ones digit is my thousands digit. --> 2X=(X-2)+Y

My tens digit is greater than 1 and less than 3--> Since it must be a whole number. 1<x<3, then x-2=2 so x=4

Plug in 4 for x to get the thousands, and tens. Then solve 2X=x-2+y to get the ones.

Answer is 8,426.

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