Question

A building has 20 floors. Starting from the top floor (which has both terrace and water tank) there is a terrace on every third floor and a water tank on every fifth floor.how many floors in the building have both terrace and water tank

Answer 1

Answer:

2

Step-by-step explanation:

because the floors which have terraces are floor 3,6,9,12,15and 18and the floors which have water tank are 5,10,15 and 20 but the common ones are only the top floor and the 15th floor

Answer 2

Two floors in the building have both terrace and water tank.

Given,

A building has 20 floors. Starting from the top floor (which has both terrace and water tank), there is a terrace on every third floor and a water tank on every fifth floor.

To Find,

How many floors in the building have both terrace and water tank.

Solution,

We can solve the question as follows:

It is given that there is a terrace on every third floor and a water tank on every fifth floor. We have to find how many floors have both terrace and water tank.

The top floor has both terrace and a water tank.

Now, every third floor has a terrace. Therefore,

$Floors\: with\: a\: terrace = 3, 6, 9, 12, 15, 18$

Every fifth floor has a water tank. Therefore,

$Floors\: with\: a\: water\: tank = 5, 10, 15, 20$

Since 15 is common, the 15th floor has both terrace and a water tank.

Hence, two floors ( the top floor and the 15th floor) in the building have both terrace and water tank.

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