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Vandaag is het 21 January 2018

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Divisible from 1 to 9 - math puzzle

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Find a number consisting of 9 digits in which each of the digits from 1 to 9 appears only once. This number should satisfy the following requirements:
a. The number should be divisible by 9.
b. If the most right digit is removed, the remaining number should be divisible by 8.
c. If then again the most right digit is removed, the remaining number should be divisible by 7.
d. etc. until the last remaining number of one digit which should be divisible by 1.

Letter math - math puzzle

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A - B = B
B * C = A
D : B = E
C * C = E
C + E = A

For which numbers stand A, B, C, D and E?


Perfect numbers - math puzzle

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A perfect number is a number which is equal to the sum of all its divisors. For example 6 is divisable by 1,2,3 and 1 + 2 + 3 = 6. Can you find another perfect number?