Question

There are some roses in a flowerpot and some bees are hovering around . If one bee lands on each flower ,one bee is left . If two bees land on each flower one flower is left . Find the number of bees and the number of roses in the flowerpot.​

Answer 1

Question:

There are some roses in a flower pot and some bees are hovering around. If one bee lands on each flower than one bee is left. If two bees land on each flower than one flower is left. Find the number of bees and the number of roses in the flower pot.

Solution:

Let the number of flowers be x and the number of bees be y.

Now;

According to the question;

If one bee lands on each flower than one bee is left.

Thus;

Total number of bees = Total number of flowers + one bee.

ie;

=> y = x + 1 ----------(1)

Also ,

It is said that;

If two bees land on each flower than one flower is left.

Thus;

Total number of flowers = Half the number of total bees + one flower.

ie;

=> x = y/2 + 1

=> x = (y + 2)/2

=> 2x = y + 2

=> y = 2x - 2 ---------(2)

From eq-(1) and (2), we have;

=> x + 1 = 2x - 2

=> 2x - x = 1 + 2

=> x = 3

Now ,

Putting x=3 in eq-(1) , we get;

=> y = x + 1

=> y = 3 + 1

=> y = 4

Hence,

The number of flowers is 3 and the number of bees is 4.

Answer 2

Answer:

y = x +1

y = x +3

y = 4

ans = 4

ans = 4