A number theory problem by Sonal Singh
Number Theory
Level
pending
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 number of flowers and bees respectively are
3,4
3,6
4,6
4,5
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1 solution
Let the number of flowers= a
If one bee lands on each flower then one will be left.
So number of bees in this case = a x1+ 1 = a+1
If 2 bees land on each flower then one flower will be left.
So number of bees in this case=( a-1)x2=2a-2
a+1= 2a-2
a =3
Number of flowers = 3
Number of bees = a+1= 3+1= 4