general
Maths Puzzle
Find integers a, b and c such that 987654321a + 123456789b + c = (a + b + c)³.There are (at least) 3 solutions with a and b non-zero.
Read Solution (Total 2)
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- Two solutions are given here.
7350 * 987654321 + 6000 * 123456789 + 6650 = (7350+6000+6650) ^ 3 = 8000000000000
450 * 987654321 + 4500 * 123456789 + 5050 = (450+4500+5050) ^ 3 = 1000000000000
- 12 years agoHelpfull: Yes(4) No(0)
- one more set of values
27150, 1500, 1350 - 12 years agoHelpfull: Yes(4) No(0)
general Other Question
Suppose there are 1000 doors namely D1,D2,D3,...,D1000 and there are 1000 persons namely P1,P2,P3,...,P1000. First P1 opens all the doors. Then P2 closes all even numbered doors. P3 changes every third door (i.e., he closes D3, opens D6 and so on). Similarly Pm changes every mth door. Finally P1000 opens D1000 if it were closed, and closes it if it were open.
At the end how many doors remain open
Three people at a party discover that if you multiply the ages of any two of them, the product is the year in which the third person was born. In what year (since 1900) was the party held?