Question

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 ______.

• A. 3, 4
• B. 4, 3
• C. 2, 3
• D. 3, 2

Answer 1

Answer: (A)

3, 4

Let $l$ be the number of lotus flower and $b$ be the number of bees.

$\Rightarrow$ If one bee lands on each flower, one bee will be left.

$\Rightarrow$ Then, $b=l+1$ ----- ( 1 )

$\Rightarrow$ If two bees land on each flower, one flower will be left.

$\Rightarrow$ Then, $\frac{b}{2}=l-1$ ---- ( 2 )

$\therefore$ By solving equation $\left(1\right)$ and $\left(2\right)$ we get, $l=3$ and $b=4$

$\therefore$ The number of flowers and bees respectively are $3$ and $4$.