Problema Solution

there are some lotus flowers in a pond and some bees are hovering around. If one bee lands on each flower, one bee will be left. If two bees land on each flower, one flower will be left. Then the numbers of flowers and bees respectively are

Answer provided by our tutors

let


l = the number of lotus flowers

b = the number of bees


If one bee lands on each flower, one bee will be left


b = l + 1


If two bees land on each flower, one flower will be left


b/2 = l - 1


by solving the system of equations


b = l + 1

b/2 = l - 1


we find


l = 3 flowers


b = 4 bees


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the numbers of flowers and bees respectively are 3 and 4.