The areas of three flats are in the ratio 5 : 6 : 8. If the difference in the areas of flat C and flat A is 180 square metres, find the area of the flat b.
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Given:
The areas of three flats are in the ratio 5 : 6 : 8
If the difference in the areas of flat C and flat A is 180 square metres.
To Find:
Area of the flat B
Solution:
Let the Flat be 5x, 6x and 8x respectively.
Difference in flat C and A = (8x - 5x) = 3x
Difference in flat C and A = 180 m
➠ (8x - 5x) = 180
➠ 3x = 180
➠ x = 60 m
Now, Area of flat B
➠ 6x = 6 × 60 = 360m²
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Answered by
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Answer
Let the area of flat a be 5x
flat B be 6x and flat C be 8x
Area of flat C - area if flat A = 180m²
8x - 5x = 180m²
3x = 180m²
x = 180m²/3
x = 60 m²
Therefore
Area of flat A = 5x = 5 × 60 = 300m²
Area of flat B = 6x = 6 × 60 = 360m²
Area of flat C = 8x = 8 × 60 = 480m²
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