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
Don't know the first one but.
33 is an answer to question two.
10/33 = 0.303030303030303
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)
\(ABCDE=83497 \\ FGHIJ=16502 \\ ABCDE-FGHIJ=66995\)
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.