A number theory problem by sudoku subbu

how many numbers from 11 to 99 have the sum of the digits a square number

14 15 16 17

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1 solution

Kenny Lau
Dec 6, 2014

The sum of digits range from 2 to 18, and the square numbers between 2 and 18 are 4 and 9 and 16.

  • 4 numbers add up to 4: 13,24,31,40
  • 9 numbers add up to 9: 18,27,36,45,54,63,72,81,90
  • 3 numbers add up to 16: 79,88,97

Total: 4+9+3=16

nice! Thnx

Nam Cao Vũ Hoàng - 6 years, 5 months ago

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