Answers

2014-03-05T13:35:20+08:00
1. Notice this digit: 1,1,2,3,5,... What's the next 10 digits of it?
2. 1/2, 1/3, 1/4, 1/5,... what's the next increasing fraction?
3. What digit has the most divisibility of all one-digit number?
4. What is the first digit that when you divide it inexactly, it will leave you decimals, even changing the value? Note that 2 isn't this digit, because 5/2 = 2.5. It can still be an exact decimal.
5. What digit, if you have twice of it, you get more than 5 divisible numbers of it? 
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2014-03-05T15:41:03+08:00
My teacher explained digit problems in school. I thought I had gotten it, and so far I have found the right answers to the first three homework problems. I thought I was getting the hang of it until I stumbled upon one I couldn't figure out - and to my dismay the next four were the same. Here they are: 1. A two-digit number is 6 more than 4 times the sum of its digits. The digits from left to right are consecutive even integers. Find the number. 2. A two-digit number is five times the sum of its digits. The digits from left to right name consecutive integers. Find the number. 3. A two digit number is 5 times the sum of its digits. When 9 is added to the number, the result is the original number with its digits reversed. Find the number. Hint: The number with its digits reversed is 10u +t. 4. The sum of the digits of a two digit number is 9. The number is 27 more than the original number with its digits reversed. Find the number. 5. The units digit of a two-digit number is 2 less than the tens digit. The number is two more than 6 times the sum of the digits. Find the number. I am pretty sure I am setting them up right, for example No. 5, the one I understood best: t-u = 2 6(t+u)+2 = 10t+u Numbers 1-4 are the hardest. I would appreciate it if you did one of those and showed me it step by step. Thanks Doc!
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