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The two digit numbers in which the tens digit is five greater than the units digit are:

  • 50
  • 61
  • 72
  • 83
  • 94

The number we are looking for is ten times the sum of its digits, and so must be a multiple of 10. The only one of the above numbers which fits this is 50, as 5 is five greater than 0, and 50 = 10 x (5+0).

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Q: In a certain two-digit number the tens' digit exceeds the units' by 5 What is the number if it is known that the number is equal to ten times the sum of the digits?
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