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Tweedle Dum and Tweedle Dee
Two brothers were left some money, amounting to an exact number of pounds, to divide between them. DEE undertook the division. "But your heap is larger than mine!" cried DUM...
Sum Equals Product
The sum of the numbers 4 and 1 [1/3] is the same as the product of 4 and 1 [1/3]; that is to say 4 + 1 [1/3] = 4 � 1 [1/3]. What other numbers have the sum equal to the product and can this be so for any whole numbers?
Special Sums and Products
Find some examples of pairs of numbers such that their sum is a factor of their product. eg. 4 + 12 = 16 and 4 × 12 = 48 and 16 is a factor of 48.
Age 11 to 14 Challenge Level:
An elephant, a hippopotamus and a rhinoceros are entered for a
race. The odds for the rhinoceros and the hippopotamus are:
2 to 1 against the rhinoceros winning and
3 to 2 against the hippopotamus winning.
What are the odds against the elephant winning if the race?
Editor's note: The hint explains 2 to 1 against in fractional form
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.