A is the sum of all even 3 digit numbers in which all the three digits are equal.B is the sum of all odd three digit numbers in which all the digits are equal then find the value of B/A
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Answer: S=549⋅450=247,050
The numbers range from 100 to 999, or 900 numbers. Exactly half of them are even, or 450.
The leftmost digit must range from 1 to 9, for an average value of 5. The second ranges from 0 to 10, for an average value of 4.5, and the last must be one of {0,2,4,6,8}, for an average of 4. It's important to note that in the 450 even numbers, all the allowable digits in each position are used the same number of times.
The average number is then
(5⋅100)+(4.5⋅10)+4=549 .
Of course, we could just take the average of all the even numbers.
100+9982=10982=549
To get the final sum, we simple multiply the average even number by the count of even numbers
Step-by-step explanation:
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