Carcass wrote:
How many integers are there between \(2 * 10^5\) and \(9 * 10^5\) so that the sum of their digits is 3?
a) 9
b) 8
c) 7
d) 6
e) 5
When we check the answer choices (
ALWAYS check the answer choices before choosing an approach), we see that all 5 answer choices a small.
In this case, we should consider the straightforward approach of
listing and counting2 x 10^5 = 2 x 100,000 = 200,000
9 x 10^5 = 9 x 100,000 = 900,000
So, we're must consider values between 200,000 and 900,000
The first value whose digits add to 3 is: 200,001
The next one is: 200,010
And: 200,100
201,000
210,000
And there's one more: 300,000
TOTAL = 6
Answer: D