Question

the height of a tower is4/5 of the height of a building.the height of a pole is 3/4 of the height of the building. if the tower is 2m taller than the pole.find the height of the building.​

Answer 1

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Hey Mate!!

Let height of the building be x.

⇒ height of tower = $\frac{4}{5}x$    .....(1)

   height of pole = $\frac{3}{4} x$      .....(2)

It is also given that tower is 2m taller than the pole.

⇒ height of tower = $\frac{3}{4}x+2$    .....(3)

From (1) = (3),

$\frac{4}{5}x = \frac{3}{4}x+2\\\\=> \frac{4}{5}x - \frac{3}{4}x=2\\\\=> \frac{16 - 15}{20}x =2\\\\=> \frac{1}{20}x =2\\\\=> x = 2 \times 20\\\\=> x = 40 \:metres$

Thus, the height of the building is 40 m.

Answer 2

Answer:

In the attached file it is clear that the answer is 40 m