1) A, B, C, D, E, F, G, H, I, J all represent a different integer from 0 to 9. If ABCDE-FGHIJ=66995, what is the value of each letter. (ABCDE and FGHIJ are 5 digits integers, not multiplication)

2) 10 is divided by a two digits positive integer. The result has infinite decimals, repeating with a period of 9 digits which contain all integers from 0 to 9 except 8. In other word, when 10 is divided by a two digits positive integer, the result is something like a,bcdefghijbcdefghijbcdefghijbcdefghij ..., a being any positive integer and bcdefghij being all different positive integers from 0 to 9 except 8. What is this two digits positive integer?

Please provide an explanation.

Thanks

Guest May 10, 2019

#1**+1 **

Don't know the first one but.

33 is an answer to question two.

10/33 = 0.303030303030303

AdamTaurus May 10, 2019

#2**+3 **

**1) **

**A, B, C, D, E, F, G, H, I, J all represent a different integer from 0 to 9. **

**If ABCDE-FGHIJ=66995, what is the value of each letter. **

**(ABCDE and FGHIJ are 5 digits integers, not multiplication)**

\(ABCDE=83497 \\ FGHIJ=16502 \\ ABCDE-FGHIJ=66995\)

heureka May 10, 2019

#3

#6**0 **

The square root of 81 =9

The reciprocal of 9 =0.11111111111111................etc.

So: 0.11111111111111.... x 0.111111111111..... =0.01234567901234567901234567901235.........etc.

so: 10 / [1 / 0.01234567901234567901234567901235] =10 x 0.01234567901234567901234567901235=0.123456790123456790......etc.

Guest May 10, 2019