Question

Two bungalows on the same side of the road have bungalow number as consecutive even number .if the sum of the two bungalow number is 1446,what are the number two bungalows

Answer 1

Given:

Two bungalows on the same side of the road have bungalow number as consecutive even number.

The sum of two bungalow number = 1446

To find:

The number of two bungalows.

Solution:

Let the number of first bungalow = $2x$ (Because it is even number)

As per question statement:

The number of second bungalow will be consecutive even number i.e. 2 more than the first bungalow

$\Rightarrow 2x+2$

As per question statement, sum of two bungalow numbers = 1446

$\Rightarrow 2x+2x+2 = 1446\\\Rightarrow 4x+2 = 1446\\\Rightarrow 4x = 1446-2\\\Rightarrow 4x = 1444\\\Rightarrow x = \dfrac{1444}4\\\Rightarrow x = 361$

The first bungalow number = $2x = 2 \times 361 = 722$

The second bungalow number = $2x+2 = 2 \times 361+2 = 722+2 = 724$

Hence the two bungalow numbers are 722 and 724.

Answer 2

The number of two bungalows are 722 and 724.

Step-by-step explanation:

We are given that two bungalows on the same side of the road have bungalow numbers as consecutive even numbers.

Also, the sum of the two bungalow numbers is 1446.

Firstly, as we know that the even numbers are those numbers whose last digit must be any of these only: 0, 2, 4, 6 and 8.

Also, the consecutive even numbers are like: 2 and 4, 6 and 8, 12 and 14, etc.

Let the number of the first bungalow be x so the number of second bungalow would definitely be (x + 2).

Now, the sum of the two bungalow number = 1446

       x + (x + 2) = 1446

        $2x+2=1446$

           $2x=1446-2$

             $x=\frac{1444}{2}$ = 722

So, the numbers of two bungalows are x = 722 and (x + 2) = 722 + 2 = 724.