Question
There are some nectar filled flowers on a tree and some
bees are hovering on it. If one bee lands on each flower, one bee will be left out. If two bees land on each flower, one flower will be left out. The number of flowers and bees respectively are:Solution
If one bee lands on each flower than one bee will be left out. This means that the number of bees is one more than the number of flowers. So. let the number of flowers be F and the number of bees be B. Then, F + 1 = B Also, if two bees land on each flower then one flower will be left out. B ÷ 2 = F - 1 ⇒ B = 2F - 2 On combining both the equations, we get: F = 3 and B = 4 Hence, there are three flowers and four bees. Alternate approach: There is only one option in which the number of bees is one more than the number of flowers i.e. 3 and 4.
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