Mapat
D is a 3 digit number such that ratio of number to the sum of it’s digits is least. What is the difference between the digit at hundred’s place and the digit at unit’s place?
Correct me if I’m wrong, but if the ratio is least, Then we need to make sure D/(sum of digits) of D is least.
100 is the smallest 3 digit number, but the sum of its digit is small too. To get the smallest ratio, let’s consider this:
999 is the largest number, but the sum of its digits is very large.
On the other hand 199 is a small 3 digit number whose sum of digits is large enough to minimise the ratio (1+9+9 = 19).
Therefore, D = 199.
(D/19 ~= 10.4)
Difference between the hundreds and units place = 8.