2006-11-20 06:46:37 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Because your result is odd (not divisible by 2), the last digit can't be 0 or 2, so it must be 1 or 3...
If the last digit is 3, the other digits must add to 1, so you have only one choice:
103
If the last digit is 1, the other digits must add to 3, so your choices are:
121
211
301
Now test each one to see if it is divisible by 7:
103 / 7 = 14.714285...
121 / 7 = 17.285714...
211 / 7 = 30.142857...
301 / 7 = 43
So the only number that fits your criteria is:
301
301 is 3 digits
301 is divisible by 7 (7 x 43)
301 is *not* divisible by 2
The sum of my digits (3 + 0 + 1) is 4.
2006-11-20 06:50:58 · answer #1 · answered by Puzzling 7 · 1⤊ 0⤋
Let ABC be the 3-digit number.
If it's not divisible by 2, then C must be odd,
that is C = 1, 3, 5, 7 or 9.
If the sum of all the digits is 4, then C must be 1 or 3.
If C is 1 or 3, then A can only be 1, 2 or 3.
If A = 1 and C = 1, then B = 2, so ABC = 121.
If A = 1 and C = 3, then B = 0, so ABC = 103.
If A = 2 and C = 1, then B = 1, so ABC = 211.
If A = 3 and C = 1, then B = 0, so ABC = 301.
These are the only four possibilities, so far.
Dividing each of them by 7, we see that the
only value for ABC must be 301 (301 / 7 = 43).
2006-11-20 07:03:54 · answer #2 · answered by falzoon 7 · 0⤊ 0⤋
You want an odd 3 digit number divisible by 7 with sum of
digits 4. Well, the first digit can only be 1, 2, or 3.
And by trying all the possibilities we find that the
only possible answer is 301. 112 is not acceptable
because it's even.
2006-11-20 07:28:33 · answer #3 · answered by steiner1745 7 · 0⤊ 0⤋
301
Your options are
112, 130, 310, 400, 121, 211, 103, 301
THe first 4 are divisible by 2 so that leaves
121, 211, 103, 301
only 301 is divisible by 7 (7*43=301)
2006-11-20 06:54:38 · answer #4 · answered by Anonymous · 0⤊ 0⤋
301
2006-11-20 07:49:33 · answer #5 · answered by tinkerbell03 2 · 0⤊ 0⤋
301
2006-11-20 06:54:26 · answer #6 · answered by fuck off 5 · 0⤊ 0⤋
You look at 7x where x = 15 to 141, but also odd. The number is 301.
2016-03-29 02:55:56 · answer #7 · answered by Anonymous · 0⤊ 0⤋
The answer is 301. (man that question was hard!!)
301 / 7 = 43
301 / 2 = 150.5
Here I was thinking that I was going to be the first to answer. Jeez!!
2006-11-20 06:58:17 · answer #8 · answered by Biff Stew 3 · 0⤊ 0⤋
112, it adds up 2 4 and the answer is 16
112 diveded by 7 = 16
2006-11-20 06:50:16 · answer #9 · answered by kiedokl 2 · 0⤊ 1⤋
One of these :
211,121
301,103
only 301 is ok.
2006-11-20 06:54:03 · answer #10 · answered by gjmb1960 7 · 0⤊ 0⤋