The least ratio of a three digit number and the sum of its digit is
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Answer:
The least ratio of a three-digit number and the sum of its digits is 112/4 = 28, and the three-digit number with this least ratio is 112.
Step-by-step explanation:
To find the least ratio of a three-digit number and the sum of its digits, we need to find the smallest three-digit number that is divisible by the sum of its digits.
Let's start by looking at the smallest possible three-digit number, which is 100. The sum of its digits is 1+0+0 = 1, so the ratio of 100 to its sum of digits is 100/1 = 100.
Next, let's consider the next smallest three-digit number, which is 101. The sum of its digits is 1+0+1 = 2, so the ratio of 101 to its sum of digits is 101/2 = 50.5.
Continuing in this manner, we find that the least ratio occurs when the three-digit number is 112, as it is the smallest three-digit number that is divisible by the sum of its digits, which is 1+1+2 = 4. Therefore, the least ratio of a three-digit number and the sum of its digits is 112/4 = 28.
So, the answer to the question is 28, and the three-digit number with this least ratio is 112.
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