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35 is the answer
35 is the number between 1 and 49 (inclusive) such that the sum to the left of it is equal to the sum to the right of it = 595
the sum of the number between 1 and 34 =595
the sum of the number between 34 and 49 =595
so, 35 is the answer
Is it possible to write down 1,2,3..100 in some order (one after an other), such that the sum of any two adjacent numbers is a prime number?
Using the digits 1, 2, 3 and 4, find the number of 10-digit sequences that can be written so that the difference between any two consecutive digits is 1.
Examples of such 10-digit sequences are 1234321232 and 2121212121.
4 _ 4 _ 4 _ 4 = 20 In the equation, you can see that there are three blank spaces between four 4's.
You have to insert signs (+ -* /) between them in such a manner that the result equals 20.
The year 1978 is such that the sum of the first two digits and the latter two digits is equal to the middle two digits, i.e. 19 + 78 = 97. What is the next year (after 1978) for which this is true?
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