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Four Digit Number

Pro Problems > Math > Number and Quantity > Number Theory > Digits
 

Four Digit Number

I am a four digit number.

The sum of my digits is 20.

The product of my digits is 600.

The difference between my first two digits is 2, and the sum of my middle two digits is 11.

What number am I?

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Problem by Mr. Twitchell

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