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Mathematics

Write 2-digit odd numbers whose sum of digits is 8.

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Answer

For a 2-digit number to be odd, the unit's digit must be odd (1, 3, 5, 7 or 9).

We need digits with sum 8:

  • Unit's digit 1: ten's digit = 7. Number = 71.
  • Unit's digit 3: ten's digit = 5. Number = 53.
  • Unit's digit 5: ten's digit = 3. Number = 35.
  • Unit's digit 7: ten's digit = 1. Number = 17.

(Unit's digit 9 gives ten's digit −1, not valid.)

Hence, the 2-digit odd numbers whose sum of digits is 8 are 17, 35, 53 and 71.

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