The areas of three flats A,B and C are in the ratio 5:6:8 respectively. If the differences in the area of flat C and flat A is 270sq metres, what is the area of flat B in sq metres?

Define the areas as

5x, 6x, and 8x respectively .

given: flatC - flatA = 270

8x - 5x = 270

carry on ...

To determine the area of flat B, we first need to find the common ratio between the areas of the flats.

Let's assume the common ratio is 'x'.

According to the given information:

Area of flat A = 5x
Area of flat B = 6x
Area of flat C = 8x

The difference between the area of flat C and flat A is 270 sq metres. Therefore, we can set up the equation:

8x - 5x = 270

Simplifying the equation:

3x = 270
x = 270/3
x = 90

Now that we have the value of 'x', we can find the area of flat B:

Area of flat B = 6x = 6 * 90 = 540 square meters

Therefore, the area of flat B is 540 square meters.

To find the area of flat B, we need to first calculate the common ratio between the areas of the flats.

Given that the ratio of the areas of flats A, B, and C is 5:6:8, we can express this as:

Area of A : Area of B : Area of C = 5x : 6x : 8x

Next, we need to find the value of x. We know that the difference in the area between flat C and flat A is 270 square meters.

Based on the given information, we can set up the equation:

8x - 5x = 270

Simplifying the equation:

3x = 270

Dividing both sides by 3:

x = 270 /3

x = 90

Now that we have determined the value of x, we can substitute it back into the ratio expression to find the area of flat B:

Area of B = 6x = 6 * 90 = 540 square meters

Therefore, the area of flat B is 540 square meters.