Question
i am a no. less than 10.my hundredths digit 3 more than my thousands digit.my tenths is 2 less than my hundredths and my ones is the sum of my tenths and my hundredths digit. what number can i be?
Answers
Graham
Let N = a.bcd
c = d+3 -> 3 ≤ c ≤ 9
b = c-2 -> 1 ≤ b ≤ 7
a = b+c
a = 2c-2 -> 4 ≤ a ≤ 8
c = (a+2)/2 -> 3 ≤ c ≤ 5
.:
c = 3, N= 4.130...
c = 4, N= 6.241...
c = 5, N= 8.352...
Though of course the rules only fix the first four significant figures.
c = d+3 -> 3 ≤ c ≤ 9
b = c-2 -> 1 ≤ b ≤ 7
a = b+c
a = 2c-2 -> 4 ≤ a ≤ 8
c = (a+2)/2 -> 3 ≤ c ≤ 5
.:
c = 3, N= 4.130...
c = 4, N= 6.241...
c = 5, N= 8.352...
Though of course the rules only fix the first four significant figures.
Pearl
0.8352