Alphabets and Numbers

Look at some of the wonders in Alphabets and Numbers.

Take the Alphabets A, B, C and D.


Letters 'a', 'b', 'c' &’d’ do not appear anywhere in the spellings of 1 to 99

(Letter’d’ comes for the first time in Hundred)



Letters 'a', 'b' & 'c' do not appear anywhere in the spellings of 1 to 999

(Letter 'a' comes for the first time in thousand)



Letters 'b' & 'c' do not appear anywhere in the spellings of 1 to 999,999,999

(Letter 'b' comes for the first time in Billion)



And Letter 'c' does not appear anywhere in the spellings of entire English Counting

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Look at the beauty in the following combination of numbers!

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321


1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111

There seems to be some mystery behind these observations.