### Brain Teasers

# Make 2003

It is easy to express 2004 as the sum of distinct positive numbers comprising the same digits:

2004 = 725 + 752 + 527 or

2004 = 617 + 671 + 716 or

2004 = 509 + 590 + 905.

It is harder to write 2003 as the sum of distinct positive numbers with the same digits.

What are they?

2004 = 725 + 752 + 527 or

2004 = 617 + 671 + 716 or

2004 = 509 + 590 + 905.

It is harder to write 2003 as the sum of distinct positive numbers with the same digits.

What are they?

### Hint

You will need five numbers of three digits each.### Answer

127 + 172 + 271 + 712 + 721 = 2003Hide Hint Show Hint Hide Answer Show Answer

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