Mathematics

Probability Level 1

How many distinct integers are there between 10 and 99, such that the sum of their digits equals 10?

7 9 10 3

Edward Adan by Edward Adan , 26, Bangladesh

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2 solutions

Sam Bealing
Jun 28, 2016

Note the tens \text{tens} digit will be between 1 1 and 9 9 and hence there will be exactly 1 1 units \text{units} digit such that the digit sum is 10 10 .

The tens \text{tens} digit goes from 1 1 to 9 9 so there are 9 \boxed{\boxed{9}} distinct integers namely 19 , 28 , 37 , 46 , 55 , 64 , 73 , 82 , 91 19,28,37,46,55,64,73,82,91 .

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Edward Adan
Jun 27, 2016

19,28,37,46,55,64,73,82,91

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice! Thanks for writing this solution. It would be better if you explained your idea in a complete sentence.

Pranshu Gaba - 4 years, 11 months ago

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